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Finding the Third Proportional to 81.88 and 179.13

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Solution

The third proportional to 81.88 and 179.13 is: 391.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.88 : 179.13 = 179.13 : x
  2. Step 2: Convert to fraction form
    81.88/179.13 = 179.13/x
  3. Step 3: Cross multiply
    81.88x = 179.13 × 179.13
  4. Step 4: Simplify right side
    81.88x = 32,085.77
  5. Step 5: Solve for x
    x = 32,085.77/81.88
  6. Step 6: Final answer
    x = 391.89

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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.