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rational has 3 distinct synonyms spread across 2 of its 5 senses. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. Its one recorded opposite is irrational.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
consistent with or based on or using reason
“rational behavior”
of or associated with or requiring the use of the mind
“intellectual problems”
capable of being expressed as a quotient of integers
“rational numbers”
1 of the 5 recorded senses carries no synonym, antonym or related term, so it is not shown above. Every sense, with its definition and examples, is on the full entry for rational.
Synonyms, antonyms and the broader and narrower relations for rational come from Princeton University’s WordNet. Full sources and licences.