That's the beauty of Facebook, my friend. In fact you just reminded me to send a note to someone I met because I friended him since we had mutual friends. The irony was, I friended him based on the 3 people, whom I think the world of, so I figured he must be a great person too. Turns out he didn't even know them, but he was still a great person.
The key is to be professional. Don't just send a friend request, add a personal note saying that:
You share mutual friends and/or you're in the biz and/or something complimentary about something they've worked on.
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