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Finding the Third Proportional to 37.20 and 81.49

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Solution

The third proportional to 37.20 and 81.49 is: 178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.20 : 81.49 = 81.49 : x
  2. Step 2: Convert to fraction form
    37.20/81.49 = 81.49/x
  3. Step 3: Cross multiply
    37.20x = 81.49 × 81.49
  4. Step 4: Simplify right side
    37.20x = 6,640.98
  5. Step 5: Solve for x
    x = 6,640.98/37.20
  6. Step 6: Final answer
    x = 178.54

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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.