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Finding the Third Proportional to 37.76 and 56.85

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Solution

The third proportional to 37.76 and 56.85 is: 85.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.76 : 56.85 = 56.85 : x
  2. Step 2: Convert to fraction form
    37.76/56.85 = 56.85/x
  3. Step 3: Cross multiply
    37.76x = 56.85 × 56.85
  4. Step 4: Simplify right side
    37.76x = 3,231.66
  5. Step 5: Solve for x
    x = 3,231.66/37.76
  6. Step 6: Final answer
    x = 85.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.