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Finding the Third Proportional to 39,721 and 82,709

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Solution

The third proportional to 39,721 and 82,709 is: 172,220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,721 : 82,709 = 82,709 : x
  2. Step 2: Convert to fraction form
    39,721/82,709 = 82,709/x
  3. Step 3: Cross multiply
    39,721x = 82,709 × 82,709
  4. Step 4: Simplify right side
    39,721x = 6,840,778,681
  5. Step 5: Solve for x
    x = 6,840,778,681/39,721
  6. Step 6: Final answer
    x = 172,220.71

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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.