Which of the following is the correct chemical formula for the ionic compound formed between Fe^{3+} and O^{2-}?

Find the smallest whole number ratio of Fe^{3+} and O^{2-} ions such that the total positive charge equals the total negative charge. This means solving for integers \(x\) and \(y\) in the equation: \(3x = 2y\).

Determine the values of \(x\) and \(y\) that satisfy the equation. The smallest such integers are \(x = 2\) and \(y = 3\), meaning 2 Fe^{3+} ions and 3 O^{2-} ions combine.