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Finding the Third Proportional to 81.44 and 176.47

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Solution

The third proportional to 81.44 and 176.47 is: 382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.44 : 176.47 = 176.47 : x
  2. Step 2: Convert to fraction form
    81.44/176.47 = 176.47/x
  3. Step 3: Cross multiply
    81.44x = 176.47 × 176.47
  4. Step 4: Simplify right side
    81.44x = 31,141.22
  5. Step 5: Solve for x
    x = 31,141.22/81.44
  6. Step 6: Final answer
    x = 382.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.