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Finding the Third Proportional to 81.38 and 179.63

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Solution

The third proportional to 81.38 and 179.63 is: 396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.38 : 179.63 = 179.63 : x
  2. Step 2: Convert to fraction form
    81.38/179.63 = 179.63/x
  3. Step 3: Cross multiply
    81.38x = 179.63 × 179.63
  4. Step 4: Simplify right side
    81.38x = 32,265.14
  5. Step 5: Solve for x
    x = 32,265.14/81.38
  6. Step 6: Final answer
    x = 396.50

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.