No you can't figure it out like that. First off there's the blade shape and twist distribution between various brands. But even if you stick with the same brand you're loading down the engine in a different way and that means it is wandering around on the HP output curve. So if the first prop just happens to spin the engine up to one HP setting then the second one may or may not let it spin at the same HP setting. Instead it will find a balance at some point that results in an RPM and HP setting that is different from the first. And since each engine will have a different power curve depending on many variables it's impossible to predict what value any given engine will spin those two props.

It's just way easier to buy the props and try them. Keep in mind too that each airplane will run with varying slippage rate on the props. A "dirty" biplane with lots of rigging and hig drag may be flying with the props showing a 60% to 70% true speed to prop/rpm speed while a slippery skinny racer model may be able to run with a 75% to 85% slippage ratio that lets the prop unload more in the air to a higher speed. At least you specified ground RPM to try to avoid muddying the waters that way.