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Finding the Third Proportional to 39,251 and 82,671

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Solution

The third proportional to 39,251 and 82,671 is: 174,122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,251 : 82,671 = 82,671 : x
  2. Step 2: Convert to fraction form
    39,251/82,671 = 82,671/x
  3. Step 3: Cross multiply
    39,251x = 82,671 × 82,671
  4. Step 4: Simplify right side
    39,251x = 6,834,494,241
  5. Step 5: Solve for x
    x = 6,834,494,241/39,251
  6. Step 6: Final answer
    x = 174,122.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.