If two numbers are 20% and 50% greater than a third number respectively, what is the ratio between these two numbers?

Explanation

Let the third number be x. The first number is 20% more than x, so it equals 120% of x, which is (120/100) * x = 6x/5. The second number is 50% more than x, so it equals 150% of x, which is (150/100) * x = 3x/2. The ratio of the first number to the second number is (6x/5) : (3x/2) = (6x/5) * (2/3x) = 12/15 = 4 : 5.