Question

a, b, c are in continued proportion, Is a = 3 & c = 27, then find b. ​

Answer 1

$\bf\purple{QuestioN:-}$

a, b, c are in continued proportion. If a = 3 & c = 27, then find b. ​

$\bf\blue{AnsweR:-}$

GiʋҽN:-

a, b , c is in a contonued proportion.

a = 3

c = 27

To FiɳD:-

The value of b from the given proportion.

SoɭυƚioN:-

Here the value of a & c is already known.

Given a, b and c are in continued proportion.

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

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

$\green\bf{\implies{3\times27=b^2}}$

$\green\bf{\implies{81=b^2}}$

$\green\bf{\implies{\sqrt{81} =b}}$

$\green\bf{\implies{9=b}}$

The value of b = 9.

Answer 2

$\bf\yellow{Question:-}$

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!!