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Finding the Third Proportional to 57,978 and 125,419

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Solution

The third proportional to 57,978 and 125,419 is: 271,308.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,978 : 125,419 = 125,419 : x
  2. Step 2: Convert to fraction form
    57,978/125,419 = 125,419/x
  3. Step 3: Cross multiply
    57,978x = 125,419 × 125,419
  4. Step 4: Simplify right side
    57,978x = 15,729,925,561
  5. Step 5: Solve for x
    x = 15,729,925,561/57,978
  6. Step 6: Final answer
    x = 271,308.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.