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Finding the Third Proportional to 39,977 and 86,001

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Solution

The third proportional to 39,977 and 86,001 is: 185,010.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,977 : 86,001 = 86,001 : x
  2. Step 2: Convert to fraction form
    39,977/86,001 = 86,001/x
  3. Step 3: Cross multiply
    39,977x = 86,001 × 86,001
  4. Step 4: Simplify right side
    39,977x = 7,396,172,001
  5. Step 5: Solve for x
    x = 7,396,172,001/39,977
  6. Step 6: Final answer
    x = 185,010.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.