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Finding the Third Proportional to 222,422 and 489,328

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Solution

The third proportional to 222,422 and 489,328 is: 1,076,520.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,422 : 489,328 = 489,328 : x
  2. Step 2: Convert to fraction form
    222,422/489,328 = 489,328/x
  3. Step 3: Cross multiply
    222,422x = 489,328 × 489,328
  4. Step 4: Simplify right side
    222,422x = 239,441,891,584
  5. Step 5: Solve for x
    x = 239,441,891,584/222,422
  6. Step 6: Final answer
    x = 1,076,520.72

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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.