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Finding the Third Proportional to 37.85 and 57.67

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Solution

The third proportional to 37.85 and 57.67 is: 87.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.85 : 57.67 = 57.67 : x
  2. Step 2: Convert to fraction form
    37.85/57.67 = 57.67/x
  3. Step 3: Cross multiply
    37.85x = 57.67 × 57.67
  4. Step 4: Simplify right side
    37.85x = 3,325.26
  5. Step 5: Solve for x
    x = 3,325.26/37.85
  6. Step 6: Final answer
    x = 87.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.