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Finding the Third Proportional to 192,816 and 397,932

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Solution

The third proportional to 192,816 and 397,932 is: 821,248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,816 : 397,932 = 397,932 : x
  2. Step 2: Convert to fraction form
    192,816/397,932 = 397,932/x
  3. Step 3: Cross multiply
    192,816x = 397,932 × 397,932
  4. Step 4: Simplify right side
    192,816x = 158,349,876,624
  5. Step 5: Solve for x
    x = 158,349,876,624/192,816
  6. Step 6: Final answer
    x = 821,248.63

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.