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Finding the Third Proportional to 81.09 and 177.28

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Solution

The third proportional to 81.09 and 177.28 is: 387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.09 : 177.28 = 177.28 : x
  2. Step 2: Convert to fraction form
    81.09/177.28 = 177.28/x
  3. Step 3: Cross multiply
    81.09x = 177.28 × 177.28
  4. Step 4: Simplify right side
    81.09x = 31,428.64
  5. Step 5: Solve for x
    x = 31,428.64/81.09
  6. Step 6: Final answer
    x = 387.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.