This computational workbench evaluates three-variable parametric scaling equations directly in your web browser. Rather than calculating optical cylindrical lens squeeze factors (such as 1.33x or 2.0x horizontal compression ratios) or elliptical circle-of-confusion dimensions for out-of-focus background highlights, this tool executes the Engineering Suite proportional ratio model.

### Computational Mechanics and Formulations The interface processes three numerical inputs to determine performance metrics in client-side state:

- **Primary Dimension / Load ($V_1$):** Baseline magnitude parameter (default is 100). - **Operating Coefficient ($V_2$):** Multiplier factor (default is 20). - **Safety / Rate Factor ($V_3$):** Divisor parameter, constrained to a minimum threshold of 0.01 to eliminate zero-division exceptions (default is 5).

**Output Formulations:** - **Calculated Result:** Evaluated as $(V_1 \times V_2) / \max(0.01, V_3)$, yielding the scaled product output. - **Secondary Metric:** Evaluated as $\sqrt{\max(0, V_1 \times V_2)}$, representing the geometric mean between primary dimension and operating coefficient. - **Efficiency / Ratio:** Evaluated as $\min(100, \max(0, [V_1 / (V_1 + V_2)] \times 100))$, expressing the primary input as a percentage of the input sum.

### Worked Numeric Example Suppose an engineer inputs: - Primary Dimension / Load ($V_1$): 180 - Operating Coefficient ($V_2$): 25 - Safety / Rate Factor ($V_3$): 6

**Calculated Output Values:** 1. **Calculated Result:** $(180 \times 25) / 6 = 4,500 / 6 = 750.00$. 2. **Secondary Metric:** $\sqrt{180 \times 25} = \sqrt{4,500} \approx 67.08$. 3. **Efficiency / Ratio:** $[180 / (180 + 25)] \times 100 = (180 / 205) \times 100 \approx 87.80\%$.

### Privacy and Client Execution All calculations execute in JavaScript inside your browser session. No parameters, project dimensions, or optical notes are transmitted to remote servers.