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Finding the Third Proportional to 37.60 and 91.12

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Solution

The third proportional to 37.60 and 91.12 is: 220.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.60 : 91.12 = 91.12 : x
  2. Step 2: Convert to fraction form
    37.60/91.12 = 91.12/x
  3. Step 3: Cross multiply
    37.60x = 91.12 × 91.12
  4. Step 4: Simplify right side
    37.60x = 8,301.95
  5. Step 5: Solve for x
    x = 8,301.95/37.60
  6. Step 6: Final answer
    x = 220.78

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.