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Finding the Third Proportional to 129,917 and 279,172

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Solution

The third proportional to 129,917 and 279,172 is: 599,898.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,917 : 279,172 = 279,172 : x
  2. Step 2: Convert to fraction form
    129,917/279,172 = 279,172/x
  3. Step 3: Cross multiply
    129,917x = 279,172 × 279,172
  4. Step 4: Simplify right side
    129,917x = 77,937,005,584
  5. Step 5: Solve for x
    x = 77,937,005,584/129,917
  6. Step 6: Final answer
    x = 599,898.44

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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.