Home theater planning and commercial AV installations require balancing projector throw distance against screen diagonal dimensions and ambient room light levels. This tool functions as a comparative parameter index calculator that models how primary dimensions, secondary factors, and margin divisors interact mathematically.

The utility computes three distinct optical indicators from user inputs: a primary optical ratio ((dimension * factor) / divisor), a geometric interaction root (sqrt(dimension * factor)), and an efficiency distribution index ((dimension / (dimension + factor)) * 100). For example, inputting a screen diagonal baseline of 120 inches, a throw distance factor of 15 feet, and an ambient illumination divisor of 25 lux produces a primary ratio of (120 * 15) / 25 = 72.0, an interaction root of sqrt(1800) ≈ 42.43, and an optical dimension share of (120 / 135) * 100 = 88.89%. Please note that this component calculates comparative mathematical dimension metrics; it does not read manufacturer optical lens throw charts or measure ambient photometer readings directly.