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Finding the Third Proportional to 129,038 and 269,900

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Solution

The third proportional to 129,038 and 269,900 is: 564,531.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,038 : 269,900 = 269,900 : x
  2. Step 2: Convert to fraction form
    129,038/269,900 = 269,900/x
  3. Step 3: Cross multiply
    129,038x = 269,900 × 269,900
  4. Step 4: Simplify right side
    129,038x = 72,846,010,000
  5. Step 5: Solve for x
    x = 72,846,010,000/129,038
  6. Step 6: Final answer
    x = 564,531.46

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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.