Please help me make an argument that the arrangement of the two numbers in a ratio doesn't matter?

I have to get this math problem right to receive an A in the class. The problem was something like a circle inscribed in a hexagon. The answer was 2:3. I got 3:2. I must come up with an argument that it didn't matter so I can get the problem correct! It might be impossible, but I'm sure my teacher can be convinced by a bit of wordplay haha.