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Finding the Third Proportional to 39,747 and 82,725

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Solution

The third proportional to 39,747 and 82,725 is: 172,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,747 : 82,725 = 82,725 : x
  2. Step 2: Convert to fraction form
    39,747/82,725 = 82,725/x
  3. Step 3: Cross multiply
    39,747x = 82,725 × 82,725
  4. Step 4: Simplify right side
    39,747x = 6,843,425,625
  5. Step 5: Solve for x
    x = 6,843,425,625/39,747
  6. Step 6: Final answer
    x = 172,174.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.