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Finding the Third Proportional to 278,894 and 418,976

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Solution

The third proportional to 278,894 and 418,976 is: 629,417.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,894 : 418,976 = 418,976 : x
  2. Step 2: Convert to fraction form
    278,894/418,976 = 418,976/x
  3. Step 3: Cross multiply
    278,894x = 418,976 × 418,976
  4. Step 4: Simplify right side
    278,894x = 175,540,888,576
  5. Step 5: Solve for x
    x = 175,540,888,576/278,894
  6. Step 6: Final answer
    x = 629,417.95

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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.