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Finding the Third Proportional to 39,867 and 82,245

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Solution

The third proportional to 39,867 and 82,245 is: 169,670.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,867 : 82,245 = 82,245 : x
  2. Step 2: Convert to fraction form
    39,867/82,245 = 82,245/x
  3. Step 3: Cross multiply
    39,867x = 82,245 × 82,245
  4. Step 4: Simplify right side
    39,867x = 6,764,240,025
  5. Step 5: Solve for x
    x = 6,764,240,025/39,867
  6. Step 6: Final answer
    x = 169,670.15

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.