This browser utility executes three-term proportional calculations for studio acoustic engineering worksheets. Rather than evaluating sealed panel membrane resonance frequencies ($f_0 = 170 / \sqrt{m \times d}$ Hz based on membrane surface density $m$ in $\text{kg/m}^2$ and air cavity depth $d$ in meters), this interface calculates the Engineering Suite proportional ratio model.

### Mathematical Pipeline The interface calculates three output metrics directly from numerical inputs:

- **Primary Cavity Load ($V_1$):** Baseline numerical parameter (default set to 100). - **Acoustic Multiplier ($V_2$):** Scaling coefficient factor (default set to 20). - **Damping Rate Factor ($V_3$):** Divisor rate factor, restricted to a minimum of 0.01 (defaults to 5.0).

**Formulas:** - **Primary Dimension Value:** Evaluated as $(V_1 \times V_2) / \max(0.01, V_3)$, determining the principal dimensional metric. - **Geometric Mean Metric:** Evaluated as $\sqrt{\max(0, V_1 \times V_2)}$, representing the geometric root. - **Primary Share Percentage:** Evaluated as $\min(100, \max(0, [V_1 / (V_1 + V_2)] \times 100))$, indicating the primary baseline fraction.

### Worked Numeric Example An acoustics builder evaluates test parameters: - Primary Cavity Load ($V_1$): 150 - Acoustic Multiplier ($V_2$): 24 - Damping Rate Factor ($V_3$): 6

**Step-by-Step Evaluation:** 1. **Primary Dimension Value:** $(150 \times 24) / 6 = 3,600 / 6 = 600.00$. 2. **Geometric Mean Metric:** $\sqrt{150 \times 24} = \sqrt{3,600} = 60.00$. 3. **Primary Share Percentage:** $[150 / (150 + 24)] \times 100 = (150 / 174) \times 100 \approx 86.21\%$.

### Privacy and Client-Side Execution All calculations run in client-side JavaScript using standard floating-point operations. No studio dimensions, acoustic readings, or room frequencies are transmitted across any network.