PHYSICS

I need help to answer this question because my teacher didn't give me an appropriate formula for this question.

Question: The weight of an object in space is 500 N (Newtons). What is the object's new weight at a third as great a distance from the centre of the earth?

What I know is that the Earth's mass is 5.98 x 10^24.
and the radius of the earth is 6.38 x10^6. Also I know that
the gravitional field intensity is 9.8N/kg.

This question is all about mass and force of gravity. If you can help me get a correct formula for this, it will be greatly appreciated. Please explain the question if you can. Thank you.

It's just standard newtonian gravitation, I'm certain you have the formula for it somewhere. Which formula do you think you should use?