Question

If geometric mean of two numbers is 10 and one number is 5, the value of other number is
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Answer 1

Answer:

5 is the other value

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Answer 2

Final Answer:

The value of the other number where the geometric mean of the two numbers is 10 with one number of them 5 is 20.

Given:

The geometric mean of the two numbers is said to be 10.

One number of them is 5.

To Find:

The value of the other number where the geometric mean of the two numbers is 10 with one number of them 5 is to be calculated.

Explanation:

The concept of the geometric mean helps figure out the solution to this problem.

The geometric mean of n number of quantities is the nth root of the product of the n number of quantities.

Step 1 of 3

As per the given statement in the problem, write the following parameters.

• The first number is $=5$.
• The geometric mean of the two numbers is $=10$.
• The value of the nth root is $n=2$

Step 2 of 3

Using the information in the given problem, it is clear that the geometric mean (10) of the two numbers is the square root of the product of the two numbers.

So, the product of the two numbers is equal to the square of the geometric mean (10) of the two numbers.

Step 3 of 3

In continuation with the above calculations the value of the second number is

$=\frac{10^2} {5} \\\\=\frac{100} {5} \\\\=20$

Therefore, the required correct answer is the number of value 20.

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