If 30 is to 40, what is 60 to?

To determine the relationship between the pairs of numbers, we start by analyzing how 30 relates to 40. The ratio can be expressed as follows:

30:40 simplifies to 3:4, meaning for every 3 units of the first number, there are 4 units of the second number.

To find what 60 relates to within the same ratio, we can set up a proportion. If we let x represent the unknown value corresponding to 60, we can express the relationship as:

60:x = 3:4

Next, we can cross-multiply to find x:

3 * x = 60 * 4

3x = 240

x = 240 / 3

x = 80

Thus, when 60 is maintained in the same 3:4 ratio as 30 is to 40, the corresponding value is 80. This confirms that the answer is accurate. The use of ratios in this way allows us to maintain consistency between the sets of numbers.