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Finding the Third Proportional to 192,864.50 and 395,125

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Solution

The third proportional to 192,864.50 and 395,125 is: 809,499.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,864.50 : 395,125 = 395,125 : x
  2. Step 2: Convert to fraction form
    192,864.50/395,125 = 395,125/x
  3. Step 3: Cross multiply
    192,864.50x = 395,125 × 395,125
  4. Step 4: Simplify right side
    192,864.50x = 156,123,765,625
  5. Step 5: Solve for x
    x = 156,123,765,625/192,864.50
  6. Step 6: Final answer
    x = 809,499.76

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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.