Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is?

Sure, let's solve this step by step:

Step 1: Let's assume the third number is x.

Step 2: According to the problem, the first number is 20% more than x and the second number is 50% more than x. So, we can represent the first number as 1.2x and the second number as 1.5x.

Step 3: We are asked to find the ratio of the first number to the second number. This can be represented as (1.2x) : (1.5x).

Step 4: The x in both numbers will cancel out when we simplify the ratio, leaving us with 1.2 : 1.5.

Step 5: To simplify this ratio further, we can multiply both sides by 10 to get rid of the decimal, resulting in 12 : 15.

Step 6: Simplify the ratio 12 : 15 by dividing both numbers by their greatest common divisor, which is 3. This gives us the final ratio of 4 : 5.

So, the ratio of the two numbers is 4 : 5.