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Finding the Third Proportional to 57,771 and 86,419

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Solution

The third proportional to 57,771 and 86,419 is: 129,273.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,771 : 86,419 = 86,419 : x
  2. Step 2: Convert to fraction form
    57,771/86,419 = 86,419/x
  3. Step 3: Cross multiply
    57,771x = 86,419 × 86,419
  4. Step 4: Simplify right side
    57,771x = 7,468,243,561
  5. Step 5: Solve for x
    x = 7,468,243,561/57,771
  6. Step 6: Final answer
    x = 129,273.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.