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Finding the Third Proportional to 80.58 and 173.87

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Solution

The third proportional to 80.58 and 173.87 is: 375.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.58 : 173.87 = 173.87 : x
  2. Step 2: Convert to fraction form
    80.58/173.87 = 173.87/x
  3. Step 3: Cross multiply
    80.58x = 173.87 × 173.87
  4. Step 4: Simplify right side
    80.58x = 30,229.12
  5. Step 5: Solve for x
    x = 30,229.12/80.58
  6. Step 6: Final answer
    x = 375.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.