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Finding the Third Proportional to 129,033 and 269,892

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Solution

The third proportional to 129,033 and 269,892 is: 564,519.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,033 : 269,892 = 269,892 : x
  2. Step 2: Convert to fraction form
    129,033/269,892 = 269,892/x
  3. Step 3: Cross multiply
    129,033x = 269,892 × 269,892
  4. Step 4: Simplify right side
    129,033x = 72,841,691,664
  5. Step 5: Solve for x
    x = 72,841,691,664/129,033
  6. Step 6: Final answer
    x = 564,519.86

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.