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Finding the Third Proportional to 39,116 and 86,872

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Solution

The third proportional to 39,116 and 86,872 is: 192,932.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,116 : 86,872 = 86,872 : x
  2. Step 2: Convert to fraction form
    39,116/86,872 = 86,872/x
  3. Step 3: Cross multiply
    39,116x = 86,872 × 86,872
  4. Step 4: Simplify right side
    39,116x = 7,546,744,384
  5. Step 5: Solve for x
    x = 7,546,744,384/39,116
  6. Step 6: Final answer
    x = 192,932.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.