There are many options when it comes to flooring.  Below are some pros and cons between the different types of tile flooring.  

Benefits of  Natural Stone

It's gorgeous.

It's natural.

No two slabs are alike, so what you put in your home will be relatively unique.

Travertine Floor

Benefits of Ceramic and Porcelain

It's indestructible.

 There are many beautiful options out there, that mimic the beauty of natural stone.

 It's easier to install and maintain.

It's significantly cheaper than natural stone.

Things to Consider About Ceramic and Porcelain

 It's not natural.

  It does not have the unique quality that natural stone does.

Things to Consider About Natural Stone

Natural Stone has to be sealed, not just after the first install, but 1-2 times a year. 

If you spill grape juice or red wine, it will likely soak into the tile and stain.  This is because natural stone is so porous.

 We get asked about Travertine very often. There are two types of cuts for Travertine:  a.) Cross Cut or Fleuri cut. This style results in a random, circular pattern. However, it does decrease the strength of the tile, and it is not recommended for high traffic areas, as it can result in holes in the tile.  These holes can be mitigated by making sure the sub-floor is installed properly.  A level, thicker sub-floor can prevent these holes.  However, these holes are not 100% preventable and most people repair them by filling in with grout, and not replacing the entire tile.  b.) Vein Cut. This style results in a 'veined' look, or a linear pattern on the tile.  These tiles also have a higher polish.  While these tiles are stronger, the polish will wear over time.
 
Anything acidic spilled on natural stone tiles will degrade the stone.  You would have to choose your cleaning products with extra care.

It is more expensive, as in twice the cost of Porcelain. 

Porcelain Floor