Question

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

Answer 1

it's 9, I think so....
hope it helps

Answer 2

Answer:

, 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}}:⟶

b

a

=

c

b

:\longrightarrow\bf{ac=b^2}:⟶ac=b

2

:\longrightarrow\bf{3\times27=b^2}:⟶3×27=b

2

:\longrightarrow\bf{81=b^2}:⟶81=b

2

:\longrightarrow\bf{\sqrt{81} =b}:⟶

81

=b

:\longrightarrow\bf{9 =b}:⟶9=b

Here, the value of b = 9.

Happy Learning!