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Finding the Third Proportional to 39,419 and 57,661

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Solution

The third proportional to 39,419 and 57,661 is: 84,344.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,419 : 57,661 = 57,661 : x
  2. Step 2: Convert to fraction form
    39,419/57,661 = 57,661/x
  3. Step 3: Cross multiply
    39,419x = 57,661 × 57,661
  4. Step 4: Simplify right side
    39,419x = 3,324,790,921
  5. Step 5: Solve for x
    x = 3,324,790,921/39,419
  6. Step 6: Final answer
    x = 84,344.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.