Thank you very much for your reply!
Though, I'm still not convinced that "Three times more students attended the prom this year than did last year" is correct. This is not OG, so I can question right answers, can't I?
All is clear in your example:
Clear: I was more X than Y was.
I and Y are subjects.
However, in the given sentence "Three times more students attended the prom this year than did last year" there is no subject in the second part. "Last year" is an adverbial modifier, but a reader may be confused by it (as if "last year" played the role of a subject).
On the other hand, a reader may turn out to be a smart one and won't be confused. It hard for me to define where the limits of ambiguity lie.
The number of students that attended the prom this year is three times greater/more/larger than the number of students that attended the prom last year.
Just in case:
In Manhattan GMAT Prep The new standart 4th edition (SC) on page 256 there is a tip about comparison:
Right: The man is FIVE TIMES AS OLD AS his grandson.
Wrong: The man is FIVE TIMES OLDER THAN his grandson.
Probably, it has been already edited.
And while we at the subject of comparison, there is a tricky problem #65 in OG 13th. I think one could come to the right answer only by eliminating the other options. The correct answer has comparison, in which in the second part the subject is omitted. It is alright with me as long as the first part has this subject. My problem is that besides our necessary subject the first part (which is a composite sentence) has also another pair of subject+verb, namely: life-forms emerged (and they are nearer to the comparison than the first subject). I assume that a reader shouldn't be confused by such small details...