What is the mean proportional between 5 and 21?

It is the square root of 5x21, which is 10.24695...
Note that 10.24695/5 = 21/10.24695.
That is why it is called the proportional mean. The ratios to the higher and lower number are the same

To find the mean proportional between two numbers, you can use the following formula:

Mean Proportional = √(Number1 x Number2)

In this case, Number1 is 5 and Number2 is 21. When we substitute these values into the formula, we get:

Mean Proportional = √(5 x 21)

Now, we can calculate the product of 5 and 21 which is 105:

Mean Proportional = √105

Taking the square root of 105 gives us the value of the mean proportional, which is approximately 10.24695.

Therefore, the mean proportional between 5 and 21 is approximately 10.24695.

It is worth noting that the mean proportional has the property that the ratios to the higher and lower number are the same. In this case, 10.24695 divided by 5 is approximately equal to 21 divided by 10.24695.