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Finding the Third Proportional to 129,894 and 279,198

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Solution

The third proportional to 129,894 and 279,198 is: 600,116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,894 : 279,198 = 279,198 : x
  2. Step 2: Convert to fraction form
    129,894/279,198 = 279,198/x
  3. Step 3: Cross multiply
    129,894x = 279,198 × 279,198
  4. Step 4: Simplify right side
    129,894x = 77,951,523,204
  5. Step 5: Solve for x
    x = 77,951,523,204/129,894
  6. Step 6: Final answer
    x = 600,116.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.