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Finding the Third Proportional to 39,864 and 85,872

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Solution

The third proportional to 39,864 and 85,872 is: 184,978.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,864 : 85,872 = 85,872 : x
  2. Step 2: Convert to fraction form
    39,864/85,872 = 85,872/x
  3. Step 3: Cross multiply
    39,864x = 85,872 × 85,872
  4. Step 4: Simplify right side
    39,864x = 7,374,000,384
  5. Step 5: Solve for x
    x = 7,374,000,384/39,864
  6. Step 6: Final answer
    x = 184,978.94

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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.