A proportion is not a resolution
1920 × 1080 and 1280 × 720 both reduce to 16:9. The ratio describes the relationship between width and height, while dimensions describe a particular pixel grid. Matching the ratio avoids stretching, but it does not guarantee enough detail for a large display.
One known side determines the other
For a known width, height equals width multiplied by reference height and divided by reference width. For a known height, the formula is reversed. The tool shows the formula next to the controls so you can check what was calculated.
Pixels need whole numbers
A proportional calculation can produce a fraction of a pixel. The result rounds the missing side to the nearest whole pixel and shows the unrounded value when rounding was needed. A one-pixel difference can slightly change the resulting ratio; it is not silently presented as an exact match.