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Finding the Third Proportional to 221,957 and 489,156

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Solution

The third proportional to 221,957 and 489,156 is: 1,078,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,957 : 489,156 = 489,156 : x
  2. Step 2: Convert to fraction form
    221,957/489,156 = 489,156/x
  3. Step 3: Cross multiply
    221,957x = 489,156 × 489,156
  4. Step 4: Simplify right side
    221,957x = 239,273,592,336
  5. Step 5: Solve for x
    x = 239,273,592,336/221,957
  6. Step 6: Final answer
    x = 1,078,017.78

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Why These Related Problems?

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