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Finding the Third Proportional to 418,518 and 915,282

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Solution

The third proportional to 418,518 and 915,282 is: 2,001,684.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,518 : 915,282 = 915,282 : x
  2. Step 2: Convert to fraction form
    418,518/915,282 = 915,282/x
  3. Step 3: Cross multiply
    418,518x = 915,282 × 915,282
  4. Step 4: Simplify right side
    418,518x = 837,741,139,524
  5. Step 5: Solve for x
    x = 837,741,139,524/418,518
  6. Step 6: Final answer
    x = 2,001,684.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.