push the boat along with the current -- make use of an opportunity to achieve one's end; make use of the favourable current situation to push matters through with little effort; push a boat in the direction of the current; turn any favourable factors to account so that the least effort would produce the results desired; go with the current; go with the crowd; do sth. without extra effort; take advantage of a favourable trend:
Since they insist on going, we'll simply push the boat with the current and let them go with us.