I had the same issue - same type of tank location, 6' 130G tank resting parallel to the 2 x 9 (net) joists. Jacks were out of the question. I used an online span deflection calculator and compared to tolerance charts. All good. Then, belt- and- suspenders, I had a structural engineer come out and take a look for a whopping $250 ( more than ten years ago, in the pricey SF Bay area) who ran the calcs, provided a report, and said I was fine. Like I said, belt and suspenders, so I sistered the affected and nearby joists with 2x8 (finished). Never had a problem.
Engineer said the danger was not the tank falling through the floor ( anybody ever hear of that actually happening in structurally sound house?) but instead the horizontal pull the joist deflection places on the load bearing walls. Like a string pulls on the bow, it can pull the walls inward, resulting in all kinds of problems.
I'd go with the SE or PE consult. You will sleep better.