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Finding the Third Proportional to 38,997.50 and 79,843

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Solution

The third proportional to 38,997.50 and 79,843 is: 163,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,997.50 : 79,843 = 79,843 : x
  2. Step 2: Convert to fraction form
    38,997.50/79,843 = 79,843/x
  3. Step 3: Cross multiply
    38,997.50x = 79,843 × 79,843
  4. Step 4: Simplify right side
    38,997.50x = 6,374,904,649
  5. Step 5: Solve for x
    x = 6,374,904,649/38,997.50
  6. Step 6: Final answer
    x = 163,469.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.