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Finding the Third Proportional to 50.73 and 81.17

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Solution

The third proportional to 50.73 and 81.17 is: 129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.73 : 81.17 = 81.17 : x
  2. Step 2: Convert to fraction form
    50.73/81.17 = 81.17/x
  3. Step 3: Cross multiply
    50.73x = 81.17 × 81.17
  4. Step 4: Simplify right side
    50.73x = 6,588.46
  5. Step 5: Solve for x
    x = 6,588.46/50.73
  6. Step 6: Final answer
    x = 129.87

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.