Question

Find the mean proportional between 3 and 12
I Want Explanation​

Answer 1

Step-by-step explanation:

Given:-

Two numbers 3 and 12

To find:-

Find the mean proportional between 3 and 12 ?

Solution:-

Method-1:-

Given two numbers are 3 and 12

Let the mean Proportional of 3 and 12 be X

Then they are 3:X ::X:12

Product of means = X×X = X^2

Product of extremes = 3×12 = 36

In Proportion,

The product of extremes= The product of means

=> X^2 = 36

=>X =√36

=>X = 6

Mean Proportional = 6

Method-2:-

We have a = 3 and b = 12

We know that

The mean Proportional of a and b =√(ab)

=> √(3×12)

=>√36

=> 6

Answer:-

The mean proportional between 3 and 12 is 6

Used formulae:-

1.In Proportion,

The product of extremes= The product of means

2.The mean Proportional of a and b =√(ab)