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Finding the Third Proportional to 129.73 and 337.61

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Solution

The third proportional to 129.73 and 337.61 is: 878.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.73 : 337.61 = 337.61 : x
  2. Step 2: Convert to fraction form
    129.73/337.61 = 337.61/x
  3. Step 3: Cross multiply
    129.73x = 337.61 × 337.61
  4. Step 4: Simplify right side
    129.73x = 113,977.45
  5. Step 5: Solve for x
    x = 113,977.45/129.73
  6. Step 6: Final answer
    x = 878.60

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.