First off, Travertine is really not a stone that tends to shine.. Its usually honed and it can be polished.. using diamonds, addtional resins and polishing powders, but its not a job for the faint at heart. It should be sealed with a penetrating stone sealer, leave the floor finish off of it. It will only make it look terrible in 10 years time and travertine should be a lifetime floor.
Now how about a little more info. Is the travertine honed, polished, tumbled, chisel edged?? In most cases maintenance should be daily or weekly dust mopping/vacuuming. Damp mopping using a neutral pH cleaner like Stone Tech's stone and tile cleaner. and You can use a white pad on a 175 to give it a good sheen. If its polished, there are pads you can use to help maintain it like Monkey's or other stone encrusted pads at the right grit level.
The bamboo again should not have any finish applied. A good neutral cleaner, or more specifically use a cleaner recommended by the manufacturer. And again a white pad on a floor machine will help bring out the natural sheen.