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Finding the Third Proportional to 81.37 and 179.03

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Solution

The third proportional to 81.37 and 179.03 is: 393.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.37 : 179.03 = 179.03 : x
  2. Step 2: Convert to fraction form
    81.37/179.03 = 179.03/x
  3. Step 3: Cross multiply
    81.37x = 179.03 × 179.03
  4. Step 4: Simplify right side
    81.37x = 32,052.89
  5. Step 5: Solve for x
    x = 32,052.89/81.37
  6. Step 6: Final answer
    x = 393.92

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.