Question

please solve this problem ​

Answer 1

Answer:

The value of b is ±9

Step-by-step explanation:

Given a, b, c are in continued proportion.

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

b

a

=

c

b

since they are in continued proportion.

ac=b^2ac=b

2

b^2=3\times 27b

2

=3×27

b^2=81b

2

=81

b=\sqrt{81}b=

81

b=\pm 9b=±9

\text{The value of b is }\pm 9The value of b is ±9

Answer 2

Answer:

Given a, b, c are in continued proportion.

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

since they are in continued proportion.

$ac = {b}^{2} \\ {b }^{2} = 3 \times 27 \\ {b}^{2} = 81 \\ b = \sqrt{81} \\ b = 9$

hopefully this will help you