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Finding the Third Proportional to 317,583 and 451,422

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Solution

The third proportional to 317,583 and 451,422 is: 641,664.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,583 : 451,422 = 451,422 : x
  2. Step 2: Convert to fraction form
    317,583/451,422 = 451,422/x
  3. Step 3: Cross multiply
    317,583x = 451,422 × 451,422
  4. Step 4: Simplify right side
    317,583x = 203,781,822,084
  5. Step 5: Solve for x
    x = 203,781,822,084/317,583
  6. Step 6: Final answer
    x = 641,664.77

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.