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Finding the Third Proportional to 129,831 and 279,051

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Solution

The third proportional to 129,831 and 279,051 is: 599,775.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,831 : 279,051 = 279,051 : x
  2. Step 2: Convert to fraction form
    129,831/279,051 = 279,051/x
  3. Step 3: Cross multiply
    129,831x = 279,051 × 279,051
  4. Step 4: Simplify right side
    129,831x = 77,869,460,601
  5. Step 5: Solve for x
    x = 77,869,460,601/129,831
  6. Step 6: Final answer
    x = 599,775.56

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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.