My Mantoux test converted while I was in nursing school (long, long ago, in a galaxy far, far away ...

). I had to turn myself in to the local Public Health department, and take INH for a year. So, I'm v. familiar with how all this works.
Most people who are exposed to TB never come close to developing the active disease (some public health people say that everyone who lives in a city in the US has been exposed ...) The medications carry a fair amount of risk of liver damage -- in the US, prophylactic treatment (what I had to take) is not done if you're over 35, because that is the point at which the risk of liver damage outweighs the risk of developing the disease, and they don't do prophylactic treatment in Europe at all, because
they consider the risk of liver damage to be too great to justify the treatment,
period (at least, that was how it worked 'way back when, when I was doing this. Things may have changed since then.)
The point of the prophylactic treatment is to kill off all the little beasties that are
lurking in your system, waiting for the day when you may be too run down, too weak, too poorly nourished, or your immune system may be compromised by some other agent/situation. UNFAIR AS IT SEEMS, the year of prophylaxis does not give you any immunity to the disease. Once you're done with the prophylactic treatment, your risk of exposure is just the same as anyone else's. On the bright side

, you never have to have a Mantoux test again ... Once you've converted to a positive Mantoux, you're positive forever, so they're meaningless from then on (and, in fact, somewhat dangerous -- you can have so strong a positive reaction to the test that the site necroses and you slough tissue. Yuk!)
Hope this info is helpful (and not too terribly out of date and incorrect ...

)