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Finding the Third Proportional to 129,713 and 279,436

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Solution

The third proportional to 129,713 and 279,436 is: 601,978.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,713 : 279,436 = 279,436 : x
  2. Step 2: Convert to fraction form
    129,713/279,436 = 279,436/x
  3. Step 3: Cross multiply
    129,713x = 279,436 × 279,436
  4. Step 4: Simplify right side
    129,713x = 78,084,478,096
  5. Step 5: Solve for x
    x = 78,084,478,096/129,713
  6. Step 6: Final answer
    x = 601,978.82

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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.