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Finding the Third Proportional to 38,772 and 57,427

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Solution

The third proportional to 38,772 and 57,427 is: 85,057.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,772 : 57,427 = 57,427 : x
  2. Step 2: Convert to fraction form
    38,772/57,427 = 57,427/x
  3. Step 3: Cross multiply
    38,772x = 57,427 × 57,427
  4. Step 4: Simplify right side
    38,772x = 3,297,860,329
  5. Step 5: Solve for x
    x = 3,297,860,329/38,772
  6. Step 6: Final answer
    x = 85,057.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.