1

Problem

Find the third proportion to 3, 6.

2

Step

Let us take the third proportion is

x

3

Step

We can write the above numbers in the proportional form (a :b::b :c):

3 : 6::6 : x

4

Formula

\$a/b::b/c\$.

5

Hint

Here a = 3 , b = 6 ,c = x.

6

Step

Let us find the x value:

x = \$ (6 \times 6)/3\$

7

Solution

So, the third proportion is x = 12.

8

Sumup

Please summarize steps

Choices

9

Choice-A

Incorrect, as the correct third proportion is 12

Wrong 14

10

Choice-B

Incorrect, as the correct third proportion is 12

Wrong 13

11

Choice-C

This is correct because it represents the third proportion to the numbers 3 and 6

Correct 12

12

Choice-D

Incorrect, as it also doesn’t match the calculated third proportion

Wrong 11

13

Answer

Option

C

14

Sumup

Please summarize choices