Question

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

Answer 1

Step-by-step explanation:

Condition of continuous proportion..

$\frac{a}{b} = \frac{b}{c}$

Here a= 4. c = 27 b=?

$\frac{a}{b} = \frac{b}{c} \\ \\ \frac{4}{b} = \frac{b}{27} \\ \\ b \times b = 4 \times 27 \\ \\ {b}^{2} = 4 \times 27 \\ \\ b = \sqrt{4 \times 27} \\ \\ b = \sqrt{2 \times 2 \times 3 \times 3 \times 3} \\ \\ b = 2 \times 3 \sqrt{3} \\ \\b = 6 \sqrt{3}$