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Finding the Third Proportional to 221,980 and 489,208

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Solution

The third proportional to 221,980 and 489,208 is: 1,078,135.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,980 : 489,208 = 489,208 : x
  2. Step 2: Convert to fraction form
    221,980/489,208 = 489,208/x
  3. Step 3: Cross multiply
    221,980x = 489,208 × 489,208
  4. Step 4: Simplify right side
    221,980x = 239,324,467,264
  5. Step 5: Solve for x
    x = 239,324,467,264/221,980
  6. Step 6: Final answer
    x = 1,078,135.27

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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.