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Finding the Third Proportional to 198,622 and 405,992

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Solution

The third proportional to 198,622 and 405,992 is: 829,865.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,622 : 405,992 = 405,992 : x
  2. Step 2: Convert to fraction form
    198,622/405,992 = 405,992/x
  3. Step 3: Cross multiply
    198,622x = 405,992 × 405,992
  4. Step 4: Simplify right side
    198,622x = 164,829,504,064
  5. Step 5: Solve for x
    x = 164,829,504,064/198,622
  6. Step 6: Final answer
    x = 829,865.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.