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Finding the Third Proportional to 221,960 and 489,163

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Solution

The third proportional to 221,960 and 489,163 is: 1,078,034.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,960 : 489,163 = 489,163 : x
  2. Step 2: Convert to fraction form
    221,960/489,163 = 489,163/x
  3. Step 3: Cross multiply
    221,960x = 489,163 × 489,163
  4. Step 4: Simplify right side
    221,960x = 239,280,440,569
  5. Step 5: Solve for x
    x = 239,280,440,569/221,960
  6. Step 6: Final answer
    x = 1,078,034.06

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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.