The mean ratio of two numbers a and b is the average of the two ratios a:b and b:a.

In this case, the two numbers are 25 and 26. So, the two ratios are:

25:26 and 26:25

The mean ratio is the average of these two ratios, which can be calculated as follows:

(mean ratio) = [(25:26) + (26:25)] / 2

We can simplify each ratio by dividing both terms by their greatest common factor, which is 1:

25:26 = 25/1 : 26/1 = 25:26 26:25 = 26/1 : 25/1 = 26:25

Substituting these values in the formula for mean ratio, we get:

(mean ratio) = [(25:26) + (26:25)] / 2 = [(25/26) + (26/25)] / 2 = [(625 + 676) / (26 x 25)] / 2 = 1.0384

Therefore, the mean ratio of 25 and 26 is approximately 1.0384.

another solution

The mean ratio of two numbers a and b can be calculated using the following formula:

(mean ratio) = sqrt(a x b) / (a + b) / 2

Alternatively, the mean ratio can also be calculated as the average of the two ratios a:b and b:a, which can be expressed as:

(mean ratio) = [(a:b) + (b:a)] / 2

Both of these formulas give the same result. The mean ratio represents the average relationship between the two numbers a and b, expressed as a ratio.