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Finding the Third Proportional to 39,949 and 86,125

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Solution

The third proportional to 39,949 and 86,125 is: 185,674.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,949 : 86,125 = 86,125 : x
  2. Step 2: Convert to fraction form
    39,949/86,125 = 86,125/x
  3. Step 3: Cross multiply
    39,949x = 86,125 × 86,125
  4. Step 4: Simplify right side
    39,949x = 7,417,515,625
  5. Step 5: Solve for x
    x = 7,417,515,625/39,949
  6. Step 6: Final answer
    x = 185,674.63

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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.