Find the Missing Value of Proportion

Name Grade School
Date Questions10 Score

1
Find the value of x in the proportion
21: x = 42:12
2
Find the value of x in the proportion
16: x = 128:184
3
Find the value of x in the proportion
5:6 = 45: x
4
Find the value of x in the proportion
20: x = 120:66
5
Find the value of x in the proportion
2:7 = 10: x
6
Find the value of x in the proportion
x :13 = 225:117
7
Find the value of x in the proportion
3:22 = 24: x
8
Find the value of x in the proportion
7:24 = x:48
9
Find the value of x in the proportion
16: x = 48:15
10
Find the value of x in the proportion
2:7 = 18: x

Answers Key
Show All Workout
1
Find the value of x in the proportion
21: 6 = 42:12
step 1
Write the given ratios in fraction form
21:y =
21y
42:12 =
4212
step 2
Find the Means & Extremes
21y
=
4212
21 x 12 = 42 x y
Extremes = 21, 12
Means = 42, y
step 3
Rearrange the statement to find y
y =
21 x 1242
y = 6
step 4
The missing term in the proportion is 6
Therefore the proportion is 21: 6 = 42:12
2
Find the value of x in the proportion
16: 23 = 128:184
step 1
Write the given ratios in fraction form
16:y =
16y
128:184 =
128184
step 2
Find the Means & Extremes
16y
=
128184
16 x 184 = 128 x y
Extremes = 16, 184
Means = 128, y
step 3
Rearrange the statement to find y
y =
16 x 184128
y = 23
step 4
The missing term in the proportion is 23
Therefore the proportion is 16: 23 = 128:184
3
Find the value of x in the proportion
5:6 = 45:54
step 1
Write the given ratios in fraction form
5:6 =
56
45:y =
45y
step 2
Find the Means & Extremes
56
=
45y
5 x y = 45 x 6
Extremes = 5, y
Means = 45, 6
step 3
Rearrange the statement to find y
y =
45 x 65
y = 54
step 4
The missing term in the proportion is 54
Therefore the proportion is 5:6 = 45:54
4
Find the value of x in the proportion
20: 11 = 120:66
step 1
Write the given ratios in fraction form
20:y =
20y
120:66 =
12066
step 2
Find the Means & Extremes
20y
=
12066
20 x 66 = 120 x y
Extremes = 20, 66
Means = 120, y
step 3
Rearrange the statement to find y
y =
20 x 66120
y = 11
step 4
The missing term in the proportion is 11
Therefore the proportion is 20: 11 = 120:66
5
Find the value of x in the proportion
2:7 = 10:35
step 1
Write the given ratios in fraction form
2:7 =
27
10:y =
10y
step 2
Find the Means & Extremes
27
=
10y
2 x y = 10 x 7
Extremes = 2, y
Means = 10, 7
step 3
Rearrange the statement to find y
y =
10 x 72
y = 35
step 4
The missing term in the proportion is 35
Therefore the proportion is 2:7 = 10:35
6
Find the value of x in the proportion
25:13 = 225:117
step 1
Write the given ratios in fraction form
y:13 =
y13
225:117 =
225117
step 2
Find the Means & Extremes
y13
=
225117
x 117 = 225 x 13
Extremes = 117, y
Means = 225, 13
step 3
Rearrange the statement to find y
y =
225 x 13117
y = 25
step 4
The missing term in the proportion is 25
Therefore the proportion is 25:13 = 225:117
7
Find the value of x in the proportion
3:22 = 24:176
step 1
Write the given ratios in fraction form
3:22 =
322
24:y =
24y
step 2
Find the Means & Extremes
322
=
24y
3 x y = 24 x 22
Extremes = 3, y
Means = 24, 22
step 3
Rearrange the statement to find y
y =
24 x 223
y = 176
step 4
The missing term in the proportion is 176
Therefore the proportion is 3:22 = 24:176
8
Find the value of x in the proportion
7:24 = 14:48
step 1
Write the given ratios in fraction form
7:24 =
724
y:24 =
y48
step 2
Find the Means & Extremes
724
=
y48
7 x 48 = y x 24
Extremes = 7, 48
Means = 24, y
step 3
Rearrange the statement to find y
y =
7 x 4824
y = 14
step 4
The missing term in the proportion is 14
Therefore the proportion is 7:24 = 14:48
9
Find the value of x in the proportion
16: 5 = 48:15
step 1
Write the given ratios in fraction form
16:y =
16y
48:15 =
4815
step 2
Find the Means & Extremes
16y
=
4815
16 x 15 = 48 x y
Extremes = 16, 15
Means = 48, y
step 3
Rearrange the statement to find y
y =
16 x 1548
y = 5
step 4
The missing term in the proportion is 5
Therefore the proportion is 16: 5 = 48:15
10
Find the value of x in the proportion
2:7 = 18:63
step 1
Write the given ratios in fraction form
2:7 =
27
18:y =
18y
step 2
Find the Means & Extremes
27
=
18y
2 x y = 18 x 7
Extremes = 2, y
Means = 18, 7
step 3
Rearrange the statement to find y
y =
18 x 72
y = 63
step 4
The missing term in the proportion is 63
Therefore the proportion is 2:7 = 18:63

Find the Missing Number in the Proportion Worksheet

Find the missing number in a proportion worksheet with answers for 6th grade math curriculum is available online for free in printable and downloadable (pdf & image) format. Tap on PRINT, PDF or IMAGE button to print or download this grade-6 ratio & proportion worksheet to practice how to find the missing values (mean or extreme) in the given proportions.

How to Use this Worksheet

In this sixth grade ratio & proportion worksheet, students are required to find the missing value of two ratios in proportion. Apply the law of proportion to find the missing number. The law of proportion states that the product of means is always equal to the product of extremes if two ratios are in equivalent, direct variation or proportion. If the ratio A is to B and C is to D is proportional
A : B = C : D
A : B :: C : D
A/B = C/D
A x D = C x B
The product of MEANS = The product of EXTREMES

Find the Missing Term in the Proportion
To find ATo find BTo find CTo find D
A = C x B/DB = A x D/CC = A x D/BD = C x B/A

Answers Key

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