propose vs offer

propose is not a noun while offer is a noun.

Word	Noun	Adjective	Verb	Adverb
propose	No	No	Yes	No
offer	Yes	No	Yes	No

As verbs, offer is a hyponym of propose; that is, offer is a word with a more specific, narrower meaning than propose:

Other hyponyms of propose include introduce.

As verbs, propose and offer are synonyms defined as:

Other synonyms of propose include declare oneself, pop the question.

propose (noun)	offer (noun)
	a usually brief attempt
	something offered (as a proposal or bid)
	the verbal act of offering

propose (verb)	offer (verb)
present for consideration, examination, criticism, etc.	put forward for consideration
propose or intend	threaten to do something
make a proposal, declare a plan for something	ask (someone) to marry you
ask (someone) to marry you	produce or introduce on the stage
put forward; nominate for appointment to an office or for an honor or position	present for acceptance or rejection
	propose a payment
	give something useful or necessary to
	make available for sale
	offer verbally
	make available; provide
	agree freely
	mount or put up
	present as an act of worship