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Finding the Third Proportional to 39,686 and 82,660

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Solution

The third proportional to 39,686 and 82,660 is: 172,168.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,686 : 82,660 = 82,660 : x
  2. Step 2: Convert to fraction form
    39,686/82,660 = 82,660/x
  3. Step 3: Cross multiply
    39,686x = 82,660 × 82,660
  4. Step 4: Simplify right side
    39,686x = 6,832,675,600
  5. Step 5: Solve for x
    x = 6,832,675,600/39,686
  6. Step 6: Final answer
    x = 172,168.41

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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.