Question

find the mean proportional between 7 and 343​

Answer 1

Step-by-step explanation:

What is the mean proportional of 7 and 28?

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What is the mean proportional of 7 and 28?

The mean proportional of 7 and 28 is the number n in the equation

7n=n28.

Solving for n by cross-multiplication, get that

(n)(n)=(28)(7)

⟹n2=(4)(7)(7)

⟹n2=(4)(72)

⟹n2−−√=(22)(72)−−−−−−−√

⟹n=22−−√72−−√

⟹n=(2)(7)

⟹n=14.

Note that n is the geometric mean of 7 and 28.

Answer 2

Answer:

49

Step-by-step explanation:

The mean proportional of 7 & 343 is the number n in the e question

$\frac{7}{n} = \frac{n }{343}$

Solving for n by cross multiplication , get that

${n}^{2} = 7 \times 343$

${n}^{2} = 2401$

$n = 49$

49 is mean proportional between 7 & 343