Question:

A spaceship is stationary between a planet and its moon, experiencing an equal gravitational pull from each. When measurements are taken, it is determined that the craft is 300,000 km from the planet

A spaceship is stationary between a planet and its moon, experiencing an equal gravitational pull from each. When measurements are taken, it is determined that the craft is 300,000 km from the planet and 100,000 km from the moon. 
What is the ratio of the mass of the planet to the mass of the moon? 
What would be the ratio of their masses if the distance of the spaceship from the planet was R times the distance of the spaceship to the moon?

A spaceship is stationary between a planet and its moon, experiencing an equal gravitational pull from each. When measurements are taken, it is determined that the craft is 300,000 km from the planet and 100,000 km from the moon. What is the ratio of the mass of the planet to the mass of the moon? What would be the ratio of their masses if the distance of the spaceship from the planet was R times the distance of the spaceship to the moon?

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