Consorting rhymes with:
sorting, aborting, cavorting, courting, deporting, distorting, exhorting, exporting, extorting, homeporting, importing, nonsporting, porting, purporting, reporting, resorting, shorting, snorting, sorting, sporting, storting, supporting, thwarting, transporting, underreporting
Consorting sounds like:
consecrations, consortium's, consortiums