If you're looking for a meeting place or a good stop around ½ or halfway between Newport, RI and Scranton, you can try Danbury, CT, which is a little over 2 hours west of Newport, RI, or about 2½ hours east of Scranton.
Other possible places to stop near the midpoint include New Milford, and Shelton.
About ¼ or a fourth of the way, you can stop at Middletown, CT. This is a little over 1 hour west of Newport, RI.
About ⅓ or a third of the way, you can stop at New Britain, CT. This is about 1½ hours west of Newport, RI.
About ⅔ or two thirds of the way, you can stop at Newburgh, NY. This is about 3 hours west of Newport, RI, or almost 2 hours east of Scranton.
About ¾ or three fourths of the way, you can stop at Port Jervis, NY. This is about 3½ hours west of Newport, RI, or about 1 hour east of Scranton.
If you drive straight through without stopping at all, the total distance is 285 miles. The distances shown above don't include local roads to get into each town, so if you're planning a long road trip, make sure you factor in traffic and road conditions, rest stop breaks, and interesting detours along the way. If you're in a rush, you can do the trip with zero stops, and your total travel time would be around 4 hours, 38 minutes.