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Finding the Third Proportional to 402,330 and 563,902

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Solution

The third proportional to 402,330 and 563,902 is: 790,359.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,330 : 563,902 = 563,902 : x
  2. Step 2: Convert to fraction form
    402,330/563,902 = 563,902/x
  3. Step 3: Cross multiply
    402,330x = 563,902 × 563,902
  4. Step 4: Simplify right side
    402,330x = 317,985,465,604
  5. Step 5: Solve for x
    x = 317,985,465,604/402,330
  6. Step 6: Final answer
    x = 790,359.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.