Question

if a'b and c are in continued proportion then product of a and c is equal to

Answer 1

$\bf\orange{QuestioN:-}$

If a, b and c are in continued proportion, the product of a and c is equal to

$\bf\pink{AnsweR:-}$

According to the given condition,

a , b and c is in a continued proportion.

Then,

$\green\bf{\implies\dfrac{a}{b}=\dfrac{b}{c}}$

$\green\bf{\implies{ac=b^2}}$

That is,

It is clear that the product of a and c is equal to the square of b.

Or else, we can say

$\green\bf{\implies{ac=b\times{b}}}$