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Finding the Third Proportional to 278,499 and 418,365

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Solution

The third proportional to 278,499 and 418,365 is: 628,473.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,499 : 418,365 = 418,365 : x
  2. Step 2: Convert to fraction form
    278,499/418,365 = 418,365/x
  3. Step 3: Cross multiply
    278,499x = 418,365 × 418,365
  4. Step 4: Simplify right side
    278,499x = 175,029,273,225
  5. Step 5: Solve for x
    x = 175,029,273,225/278,499
  6. Step 6: Final answer
    x = 628,473.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.