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Finding the Third Proportional to 37.78 and 81.98

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Solution

The third proportional to 37.78 and 81.98 is: 177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.78 : 81.98 = 81.98 : x
  2. Step 2: Convert to fraction form
    37.78/81.98 = 81.98/x
  3. Step 3: Cross multiply
    37.78x = 81.98 × 81.98
  4. Step 4: Simplify right side
    37.78x = 6,720.00
  5. Step 5: Solve for x
    x = 6,720.00/37.78
  6. Step 6: Final answer
    x = 177.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.