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Finding the Third Proportional to 81.09 and 173.90

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Solution

The third proportional to 81.09 and 173.90 is: 372.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.09 : 173.90 = 173.90 : x
  2. Step 2: Convert to fraction form
    81.09/173.90 = 173.90/x
  3. Step 3: Cross multiply
    81.09x = 173.90 × 173.90
  4. Step 4: Simplify right side
    81.09x = 30,239.87
  5. Step 5: Solve for x
    x = 30,239.87/81.09
  6. Step 6: Final answer
    x = 372.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.