Question

the mean proportional between 27 and 3 is

Answer 1

Mean proportion = √ab = √ 27 × 3 = √81 = 9.

Answer 2

$\huge{ \bold{Question:}}$

find the mean proportional between:

(i) 3 and 27

$\huge{ \bold{Answer:}}$

${ \bold{(i) Let \: the \: mean \: proportional \: } }\\ { \bold{between \: 3 \: and \: 27 \: be \: b.}} \\ ∴3:b:: b: 27 \\→ 3 \times 27=b \times b \\ → b^ 2 =81 \\→ b \times b \: = 9 \times 9 \\ →b = 9\\{\bold{Answer: \: The \: mean \: proportional}} \\{\bold{ \:between \:3 \:and \:27 \: is \: 9.}}$

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