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Finding the Third Proportional to 221,978 and 489,204

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Solution

The third proportional to 221,978 and 489,204 is: 1,078,127.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,978 : 489,204 = 489,204 : x
  2. Step 2: Convert to fraction form
    221,978/489,204 = 489,204/x
  3. Step 3: Cross multiply
    221,978x = 489,204 × 489,204
  4. Step 4: Simplify right side
    221,978x = 239,320,553,616
  5. Step 5: Solve for x
    x = 239,320,553,616/221,978
  6. Step 6: Final answer
    x = 1,078,127.35

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.