Mean Proportional Calculation
The mean proportional (or geometric mean) of two numbers, say '\(a\)' and '\(b\)', is defined as the square root of their product. The formula is:
Mean Proportional = \(\sqrt{a \times b}\)
Applying the Formula
In this problem, we need to find the mean proportional of 49 and 16. So, we have:
- \(a = 49\)
- \(b = 16\)
Step-by-Step Solution
- Substitute the values of '\(a\)' and '\(b\)' into the formula:
Mean Proportional = \(\sqrt{49 \times 16}\)
- Calculate the product of the two numbers:
\(49 \times 16 = 784\)
Mean Proportional = \(\sqrt{784}\)
- Find the square root of the product. Alternatively, calculate the square root of each number first:
Mean Proportional = \(\sqrt{49} \times \sqrt{16}\)
Mean Proportional = \(7 \times 4\)
- Perform the final multiplication:
Mean Proportional = \(28\)
Therefore, the mean proportional of 49 and 16 is 28.
Similar Questions
If 25 : x :: x : 36, and x > 0, then what is the value of x?
Important Questions from Mean Proportional
When x is subtracted from each of 24, 30, 36 and 46, the numbers so obtained in this order, are in proportion. What is the mean proportional between (2x + 3) and (3x + 2)?
What is the mean proportional of 40 and 90?
The first, third and fourth terms of a proportion are 8, 16 and 6 respectively. What is the second term?
The mean proportional between 0.16 and 0.64 is:
What is the mean proportional between 3 and 27?
