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Finding the Third Proportional to 129,979 and 279,302

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Solution

The third proportional to 129,979 and 279,302 is: 600,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,979 : 279,302 = 279,302 : x
  2. Step 2: Convert to fraction form
    129,979/279,302 = 279,302/x
  3. Step 3: Cross multiply
    129,979x = 279,302 × 279,302
  4. Step 4: Simplify right side
    129,979x = 78,009,607,204
  5. Step 5: Solve for x
    x = 78,009,607,204/129,979
  6. Step 6: Final answer
    x = 600,170.85

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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.