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Finding the Third Proportional to 194,940 and 405,198

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Solution

The third proportional to 194,940 and 405,198 is: 842,235.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,940 : 405,198 = 405,198 : x
  2. Step 2: Convert to fraction form
    194,940/405,198 = 405,198/x
  3. Step 3: Cross multiply
    194,940x = 405,198 × 405,198
  4. Step 4: Simplify right side
    194,940x = 164,185,419,204
  5. Step 5: Solve for x
    x = 164,185,419,204/194,940
  6. Step 6: Final answer
    x = 842,235.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.