A bit of mental arithmetic can achieve the same result. Suppose that you have a test filling 5x7" and want to make a print on 16" paper, the new image area is measured to be about 11 1/2"x16" (ignoring small borders). So the increase in exposure is (11 1/2x16) divided by (5x7), (184/35), which works out to 5,26 and therefore 5,26 times the original exposure time, as a starting point.
Given the large change in size you might also want an increase in contrast, and probably to change the exposure by a few tenths of a stop from the test - but the different print areas are illuminated by the same light-source, so the starting-point increase (or reduction, if making a smaller print) in time works like this.
If you make 'minimum-time-for-maximum black' style contact-sheets, and use an enlarger as the light-source, then you can also estimate a starting point for any size print from the time used for your contact-sheet.