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Finding the Third Proportional to 67,394 and 137,704

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Solution

The third proportional to 67,394 and 137,704 is: 281,366.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,394 : 137,704 = 137,704 : x
  2. Step 2: Convert to fraction form
    67,394/137,704 = 137,704/x
  3. Step 3: Cross multiply
    67,394x = 137,704 × 137,704
  4. Step 4: Simplify right side
    67,394x = 18,962,391,616
  5. Step 5: Solve for x
    x = 18,962,391,616/67,394
  6. Step 6: Final answer
    x = 281,366.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.