It’s possible, but it’s better to say “a third the size of” or possibly “a third as big as”
In everyday conversation people might say – and would certainly understand – “three times as small as”. But it’s best to avoid such phrases in formal English.
Some people say “three times bigger than” or “three times smaller than”. It’s best to avoid these – for mathematical rather than grammatical reasons!
Compare: “twice as big as”, “half the size of”, “half as big as”; “four times as big as”, a quarter the size of”, “a quarter as big as”; “twenty times as big as”, “a twentieth the size of”, “five percent as big as”,
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