Temperature ratio for Venus and Jupiter formation regions

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Homework Statement



Formation of the Solar System

The distance of Venus is about 0.7 AU, and the orbital radius of Jupiter is about 5.2 AUs. How many times hotter is the region where Venus formed compared to the region where Jupiter formed? Enter numbers and decimal point only. Round off to the nearest tenth.

Homework Equations


The Attempt at a Solution




The temperature of a region of the solar system depends on how close it is to the sun, according to the inverse square law:

T = k/R²

where "k" is some constant. So:

Tvenus / Tjupiter = (k/Rvenus²) / (k/Rjupiter²)
= (Rjupiter / Rvenus)²
= (5.2 AU / 0.7 AU)²

I arrived at Venus' region being 55.2 times hotter than Jupiter region and it is wrong.

Thank you in advance for your help.
 

Discussion

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It's not

T = k/R2

It's inverse square root.