The spacing of reinforcing bars in concrete is determined to ensure the required area of steel is provided within a given length. When replacing bars of a smaller diameter with larger diameter bars while maintaining the same reinforcement ratio, the spacing of the larger bars must increase. The calculation is based on equating the area of steel per unit length: $\frac{A_1}{S_1} = \frac{A_2}{S_2}$, where $A$ is the cross-sectional area of a single bar and $S$ is the spacing. For circular bars, $A \propto D^2$. Therefore, $S_2 = S_1 \times \frac{D_2^2} {D_1^2}$.