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Finding the Third Proportional to 32.72 and 71.97

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Solution

The third proportional to 32.72 and 71.97 is: 158.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.72 : 71.97 = 71.97 : x
  2. Step 2: Convert to fraction form
    32.72/71.97 = 71.97/x
  3. Step 3: Cross multiply
    32.72x = 71.97 × 71.97
  4. Step 4: Simplify right side
    32.72x = 5,179.50
  5. Step 5: Solve for x
    x = 5,179.50/32.72
  6. Step 6: Final answer
    x = 158.30

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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.