The aspect ratio or profile (in this case, 50) is expressed as a ratio that's derived from the tyre's section height / tyre's section width x 100.
So given the same aspect ratio, if you change the width, so will the height. This ultimately changes the overall diameter (OD).
For instance, a 225/50 R17 tyre has an OD of 658 mm and a 235/50 R17 tyre has a OD of 668 mm.
Fitting a tyre with a bigger OD will make the speedometer less overestimate the indicated speed. The wheel width does not noticeably affect the tyre's OD.
Increasing the wheel width by 0.5" and increasing the tyre width by 10 mm does not usually cause concern in most cars.
No, it's not necessary. A 225/50 R17 tyre can be fitted on any wheel with a width of 6.0 to 8.0.
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