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Finding the Third Proportional to 192,678 and 398,775

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Solution

The third proportional to 192,678 and 398,775 is: 825,322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,678 : 398,775 = 398,775 : x
  2. Step 2: Convert to fraction form
    192,678/398,775 = 398,775/x
  3. Step 3: Cross multiply
    192,678x = 398,775 × 398,775
  4. Step 4: Simplify right side
    192,678x = 159,021,500,625
  5. Step 5: Solve for x
    x = 159,021,500,625/192,678
  6. Step 6: Final answer
    x = 825,322.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.