Question

If a, b, c are in proportion & if a = 3, c = 23 find b.

answer with explaination​

Answer 1

It is given that 3, b, 27 are in continued proportion.

$\frac{3}{b} = \frac{b}{27} \\ ⇒ {b}^{2} = 3 \times 27 \\ ⇒ {b}^{2} = 81 \\⇒b = \sqrt{81} = 9 \\ \\∴Thus \: the \: value \: of \: b \: is \: 9$