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Finding the Third Proportional to 129.73 and 285.05

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Solution

The third proportional to 129.73 and 285.05 is: 626.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.73 : 285.05 = 285.05 : x
  2. Step 2: Convert to fraction form
    129.73/285.05 = 285.05/x
  3. Step 3: Cross multiply
    129.73x = 285.05 × 285.05
  4. Step 4: Simplify right side
    129.73x = 81,251.72
  5. Step 5: Solve for x
    x = 81,251.72/129.73
  6. Step 6: Final answer
    x = 626.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.