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Finding the Third Proportional to 221,351 and 489,220

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Solution

The third proportional to 221,351 and 489,220 is: 1,081,251.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,351 : 489,220 = 489,220 : x
  2. Step 2: Convert to fraction form
    221,351/489,220 = 489,220/x
  3. Step 3: Cross multiply
    221,351x = 489,220 × 489,220
  4. Step 4: Simplify right side
    221,351x = 239,336,208,400
  5. Step 5: Solve for x
    x = 239,336,208,400/221,351
  6. Step 6: Final answer
    x = 1,081,251.99

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.