I am running 19" RR wheels (2006 I believe and they appear different than your picture) on my LR3 HSE without issue. They have 4mm or so less offset but you can't tell and the vehicle drives fine.
That being said the wheels you mention will fit but the lug nuts will not.
You MUST use the correct lugs or big trouble. Land Rover changed from a square lug to a tapered cone .
Compatibility Between Model Years and with LR3/Disco3/RR Sport Wheels:
Officially, 2003-05 Range Rover wheels are incompatible with later models and vice versa, and all RR III wheels are incompatible with LR3 and RR Sport wheels. RR III wheels have a 57 mm offset, whereas 53 mm is used on the LR3 and RR Sport. Also, the earlier Range Rover lug nuts had square ends and the D3/LR3/Sport ones have tapered ends (see photo at right). In 2006, Range Rover wheels were redesigned to accept the RR Sport and LR3 lug nuts. However the 57 mm offset was retained.
Photo at right adapted from TSB # LM-204-001 (July 2005) on wheel compatibility.
So, officially you are not supposed to mix early and late wheels, or use wheels from the inferior models.Unofficially, the later RR III wheels are fine on the earlier models if you buy the later lug nuts (about $400 for a complete set from the dealer, or less than half that from the Rover Connection). I know at least one 2003 RR owner who uses 2006 wheels with the old lug nuts and has reported no problems, but do so at your own risk!! Similarly, it is probably feasible to use DiscoIII/LR3/Sport wheels on the Range Rover (with the appropriate lug nuts), but the slightly different wheel offset may adversely affect steering and wheel bearing wear. If the 17 inch D3 wheels will fit (which I doubt, see above), they would be useful for short term use such as extreme off road expeditions, due to the much larger range of aggressive tires available for them.
If you have any other info on this topic, please email me).
Mk III Range Rover Tire Choices