Question

18) a, b, care in continued
proportion, if a = 3 and c = 27
then find b
​

Answer 1

$\bf\blue{Question:-}$

a, b, c are in continued  proportion, if a = 3 and c = 27, then find b.

$\bf\green{Answer:-}$

Giʋҽɳ:-

a, b , c is in a continued proportion.

a = 3  

c = 27

To Fiɳɖ:-

The value of b from the given proportion.

Soɭυƚioɳ:-

Here the value of a & c is already known.  

Given a, b and c are in continued proportion.

$:\longrightarrow\bf{\dfrac{a}{b}=\dfrac{b}{c}}$

$:\longrightarrow\bf{ac=b^2}$

$:\longrightarrow\bf{3\times27=b^2}$

$:\longrightarrow\bf{81=b^2}$

$:\longrightarrow\bf{\sqrt{81} =b}$

$:\longrightarrow\bf{9 =b}$

Here, the value of b = 9.

Happy Learning!