Question

$what \: is \: the \: mean \: proportion \: \\ of \: 4 \: and \: 25$
​

Answer 1

Step-by-step explanation:

Given :-

The two numbers are 4 and 25

To find:-

Find the mean Proportion of 4 and 25

Solution:-

Method-1:-

Given numbers are 4 and 25

Let the mean Proportion be X

Then the proportion

4:X::X:25

Product of means = X×X = X^2

Product of extremes = 4×25=100

We know that

In Proportion,

Product of means = Product of extremes

=> X^2 = 100

=> X =√100

=> X = 10

The mean Proportion = 10

Method -2:-

Given numbers are 4 and 25

We know that the mean Proportion of the numbers a and b is √(ab)

We have ,

a = 4

b = 25

Mean Proportion =√(4×25)

=> √100

=> 10

Answer:-

The mean Proportion of 4 and 25 is 10

Used formulae:-

• In Proportion,

Product of means = Product of extremes

• the mean Proportion of the numbers a and b is √(ab)