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Finding the Third Proportional to 39,745 and 82,721

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Solution

The third proportional to 39,745 and 82,721 is: 172,166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,745 : 82,721 = 82,721 : x
  2. Step 2: Convert to fraction form
    39,745/82,721 = 82,721/x
  3. Step 3: Cross multiply
    39,745x = 82,721 × 82,721
  4. Step 4: Simplify right side
    39,745x = 6,842,763,841
  5. Step 5: Solve for x
    x = 6,842,763,841/39,745
  6. Step 6: Final answer
    x = 172,166.66

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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.