Esri Demographics here estimates that if no new states are admitted soon, nine U.S. House seats will be reapportioned. Texas will gain 3. These states would gain one: Arizona, Colorado, Florida, Montana, North Carolina, and Oregon. These states would each lose one: California, Illinois, Michigan, Minnesota, New York, Ohio, Rhode Island, Pennsylvania, and West Virginia.
The article also estimates what would happen if either Puerto Rico or the District of Columbia were admitted, and if the size of the U.S. House were not increased.
Assuming that the article is correct about Rhode Island, the Rhode Island ballot access law would then contain an anomaly. The law says candidates for U.S. Senator and Governor each need 1,000 signatures, and that U.S. House candidates need 500. If Rhode Island only has one seat in the coming decade, and the law is not amended, it would be somewhat peculiar that U.S. House, which would become a statewide office, would require only half as many signatures as for U.S. Senate and Governor.
Assuming that Montana increases from one U.S. House member to two, the Montana law can handle the situation with no need for an amendment. Section 13-10-502 says the number of signatures for an independent is 5% of the winning candidate’s vote for the same office in the last election (which is far too difficult). But it also says in case the office hadn’t existed in the last election, the Secretary of State must calculate the new requirement, presumably by imagining that the new district lines had existed in the past election, and calculating theoretical numbers within each district. This is a time-consuming task, and the Secretary of State could save herself trouble if she asked the legislature to amend the petition requirement and impose a flat number of signatures instead of a percentage.