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Finding the Third Proportional to 418,884 and 663,591

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Solution

The third proportional to 418,884 and 663,591 is: 1,051,252.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,884 : 663,591 = 663,591 : x
  2. Step 2: Convert to fraction form
    418,884/663,591 = 663,591/x
  3. Step 3: Cross multiply
    418,884x = 663,591 × 663,591
  4. Step 4: Simplify right side
    418,884x = 440,353,015,281
  5. Step 5: Solve for x
    x = 440,353,015,281/418,884
  6. Step 6: Final answer
    x = 1,051,252.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.