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Finding the Third Proportional to 317,715.75 and 495,330

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Solution

The third proportional to 317,715.75 and 495,330 is: 772,236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,715.75 : 495,330 = 495,330 : x
  2. Step 2: Convert to fraction form
    317,715.75/495,330 = 495,330/x
  3. Step 3: Cross multiply
    317,715.75x = 495,330 × 495,330
  4. Step 4: Simplify right side
    317,715.75x = 245,351,808,900
  5. Step 5: Solve for x
    x = 245,351,808,900/317,715.75
  6. Step 6: Final answer
    x = 772,236.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.