A board that is 19 feet long must be cut into two pieces that have lengths in a ratio of 3 to 2. Find the lengths of the two pieces.
If the length of the board is 5 feet, we can immediately tell that it should be cut into two pieces, one 3 feet, and the other 2.
If the length is 19 feet, we can increase each piece by the proportion of 19/5, thus the lengths are:
3*(19/5) and 2*(19/5) respectively.
Can you take it from here?