Question

find the mean proportion to 4and6​

Answer 1

Answer:

2√6 or √24 is mean proportional between 4 and 6.

Step-by-step explanation:

$4 : x : 6\\\implies x^2 = 4 \times 6 = 24\\\implies x = \sqrt{24} = 2\sqrt{6}$

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Answer 2

$4:b :: b:6$

$\frac{4}{b} = \frac{b}{6}$

${b}^{2} = 4 \times 6$

${b}^{2} = 24$

$b = \sqrt{24}$

$b = 2 \sqrt{6}$