Question

Find the value of x, if the mean proportional between xand 96 is 24

Answer 1

The value of x = 6

Given :

The mean proportional between x and 96 is 24

To find :

The value of x

Solution :

Step 1 of 2 :

Form the equation

Here it is given that the mean proportional between x and 96 is 24

By the given condition

x : 24 = 24 : 96

Step 2 of 2 :

Find the value of x

$\displaystyle \sf{x : 24 = 24 : 96 }$

$\displaystyle \sf{ \implies \frac{x}{24} = \frac{24}{96} }$

$\displaystyle \sf{ \implies x =24 \times \frac{24}{96} }$

$\displaystyle \sf{ \implies x =24 \times \frac{1}{4} }$

$\displaystyle \sf{ \implies x = 6 }$

Hence the required value of x = 6

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