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Finding the Third Proportional to 129,007 and 273,686

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Solution

The third proportional to 129,007 and 273,686 is: 580,619.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,007 : 273,686 = 273,686 : x
  2. Step 2: Convert to fraction form
    129,007/273,686 = 273,686/x
  3. Step 3: Cross multiply
    129,007x = 273,686 × 273,686
  4. Step 4: Simplify right side
    129,007x = 74,904,026,596
  5. Step 5: Solve for x
    x = 74,904,026,596/129,007
  6. Step 6: Final answer
    x = 580,619.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.