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Finding the Third Proportional to 129,438 and 274,302

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Solution

The third proportional to 129,438 and 274,302 is: 581,294.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,438 : 274,302 = 274,302 : x
  2. Step 2: Convert to fraction form
    129,438/274,302 = 274,302/x
  3. Step 3: Cross multiply
    129,438x = 274,302 × 274,302
  4. Step 4: Simplify right side
    129,438x = 75,241,587,204
  5. Step 5: Solve for x
    x = 75,241,587,204/129,438
  6. Step 6: Final answer
    x = 581,294.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.