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Finding the Third Proportional to 39,977.75 and 86,005

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Solution

The third proportional to 39,977.75 and 86,005 is: 185,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,977.75 : 86,005 = 86,005 : x
  2. Step 2: Convert to fraction form
    39,977.75/86,005 = 86,005/x
  3. Step 3: Cross multiply
    39,977.75x = 86,005 × 86,005
  4. Step 4: Simplify right side
    39,977.75x = 7,396,860,025
  5. Step 5: Solve for x
    x = 7,396,860,025/39,977.75
  6. Step 6: Final answer
    x = 185,024.42

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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.