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Finding the Third Proportional to 39,806 and 56,591

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Solution

The third proportional to 39,806 and 56,591 is: 80,453.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,806 : 56,591 = 56,591 : x
  2. Step 2: Convert to fraction form
    39,806/56,591 = 56,591/x
  3. Step 3: Cross multiply
    39,806x = 56,591 × 56,591
  4. Step 4: Simplify right side
    39,806x = 3,202,541,281
  5. Step 5: Solve for x
    x = 3,202,541,281/39,806
  6. Step 6: Final answer
    x = 80,453.73

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.