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Finding the Third Proportional to 221,953 and 489,150

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Solution

The third proportional to 221,953 and 489,150 is: 1,078,010.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,953 : 489,150 = 489,150 : x
  2. Step 2: Convert to fraction form
    221,953/489,150 = 489,150/x
  3. Step 3: Cross multiply
    221,953x = 489,150 × 489,150
  4. Step 4: Simplify right side
    221,953x = 239,267,722,500
  5. Step 5: Solve for x
    x = 239,267,722,500/221,953
  6. Step 6: Final answer
    x = 1,078,010.76

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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.