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Finding the Third Proportional to 39,997 and 86,409

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Solution

The third proportional to 39,997 and 86,409 is: 186,676.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,997 : 86,409 = 86,409 : x
  2. Step 2: Convert to fraction form
    39,997/86,409 = 86,409/x
  3. Step 3: Cross multiply
    39,997x = 86,409 × 86,409
  4. Step 4: Simplify right side
    39,997x = 7,466,515,281
  5. Step 5: Solve for x
    x = 7,466,515,281/39,997
  6. Step 6: Final answer
    x = 186,676.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.