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Finding the Third Proportional to 39,663 and 86,238

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Solution

The third proportional to 39,663 and 86,238 is: 187,504.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,663 : 86,238 = 86,238 : x
  2. Step 2: Convert to fraction form
    39,663/86,238 = 86,238/x
  3. Step 3: Cross multiply
    39,663x = 86,238 × 86,238
  4. Step 4: Simplify right side
    39,663x = 7,436,992,644
  5. Step 5: Solve for x
    x = 7,436,992,644/39,663
  6. Step 6: Final answer
    x = 187,504.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.