balance vs proportion

balance and proportion both are nouns.

Word	Noun	Adjective	Verb	Adverb
balance	Yes	No	Yes	No
proportion	Yes	No	Yes	No

As nouns, balance and proportion are synonyms defined as:

balance and proportion: harmonious arrangement or relation of parts or elements within a whole (as in a design)

Other synonyms of balance include proportionality.

As nouns, proportion is a hyponym of balance; that is, proportion is a word with a more specific, narrower meaning than balance:

Other hyponyms of balance include conformation, symmetry.

balance (noun)	proportion (noun)
a scale for weighing; depends on pull of gravity	magnitude or extent
a weight that balances another weight	harmonious arrangement or relation of parts or elements within a whole (as in a design)
a wheel that regulates the rate of movement in a machine; especially a wheel oscillating against the hairspring of a timepiece to regulate its beat	the quotient obtained when the magnitude of a part is divided by the magnitude of the whole
harmonious arrangement or relation of parts or elements within a whole (as in a design)	the relation between things (or parts of things) with respect to their comparative quantity, magnitude, or degree
(mathematics) an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane	balance among the parts of something
equality between the totals of the credit and debit sides of an account
the difference between the totals of the credit and debit sides of an account
something left after other parts have been taken away
equality of distribution
a state of equilibrium

balance (verb)	proportion (verb)
hold or carry in equilibrium	adjust in size relative to other things
compute credits and debits of an account	give pleasant proportions to
bring into balance or equilibrium
be in equilibrium