Question

find the mean proportional between 1/2 and 1/72

Answer 1

ley A be the mean proportional then mean proportional between 1/2 and 1/72 will be

A²=1/2 × 1/72,

A=√(1/2×1/72),

A=1/2×1/6,

A=1/12

Answer 2

Answer:

The mean proportional between 1/2 and 1/72 is 1/12.

Step-by-step explanation:

Here given two numbers are 1/2 and 1/72.

We want to find mean proportion of these two numbers.

If a and b are two numbers then mean proportion of a and b $= \sqrt{ab}$

So, mean proportion of 1/2 and 1/72

$= \sqrt{ \frac{1}{2} \times \frac{1}{72} } \\ = \sqrt{ \frac{1}{144} } \\ = \sqrt{ \frac{1}{12 \times 12} } \\ = \frac{1}{12}$

Mean proportion related more information:

The term average proportion is also called the geometric mean. The term Means, when used alone or in the context of mean, median, or mode, refers to finding an arithmetic mean or average. The geometric mean or proportional mean is not similar to the arithmetic mean. In mathematics, the arithmetic mean deals with addition, while the geometric mean deals with multiplication. We understand what mean proportion is as ratio and proportion. In mathematics, the average proportion between two terms of a ratio is calculated by taking the square root of the product of two quantities. For example, in the proportion p:q::r:s, we can calculate the mean proportion of the ratio p:q by calculating the magnitude of the square root of the product of p and q. Mathematically, the mean is expressed as a proportion.

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