Economic relates to the economy or to economics — economic growth, economic policy. Economical means thrifty or efficient: not wasteful. An economic decision concerns the economy; an economical one saves money.
The core difference
One is a subject area; the other is a virtue.
- economic — of the economy: economic downturn, economic sanctions.
- economical — thrifty, efficient: an economical car, economical with materials.
Where the difference bites
"An economic solution" suggests one relating to the economy; "an economical solution" means a cheap one. In business writing that is a real ambiguity, because a proposal can be either or both.
The phrase
Economical with the truth is a well-known euphemism for misleading by omission — using the thrift sense, and using it drily. It entered wide circulation from a 1986 British court case.