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Finding the Third Proportional to 81.73 and 177.87

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Solution

The third proportional to 81.73 and 177.87 is: 387.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.73 : 177.87 = 177.87 : x
  2. Step 2: Convert to fraction form
    81.73/177.87 = 177.87/x
  3. Step 3: Cross multiply
    81.73x = 177.87 × 177.87
  4. Step 4: Simplify right side
    81.73x = 31,636.77
  5. Step 5: Solve for x
    x = 31,636.77/81.73
  6. Step 6: Final answer
    x = 387.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.