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Finding the Third Proportional to 37.76 and 77.41

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Solution

The third proportional to 37.76 and 77.41 is: 158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.76 : 77.41 = 77.41 : x
  2. Step 2: Convert to fraction form
    37.76/77.41 = 77.41/x
  3. Step 3: Cross multiply
    37.76x = 77.41 × 77.41
  4. Step 4: Simplify right side
    37.76x = 5,992.94
  5. Step 5: Solve for x
    x = 5,992.94/37.76
  6. Step 6: Final answer
    x = 158.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.