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Finding the Third Proportional to 80.17 and 172.80

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Solution

The third proportional to 80.17 and 172.80 is: 372.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.17 : 172.80 = 172.80 : x
  2. Step 2: Convert to fraction form
    80.17/172.80 = 172.80/x
  3. Step 3: Cross multiply
    80.17x = 172.80 × 172.80
  4. Step 4: Simplify right side
    80.17x = 29,861.54
  5. Step 5: Solve for x
    x = 29,861.54/80.17
  6. Step 6: Final answer
    x = 372.49

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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.