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Finding the Third Proportional to 222,390 and 489,276

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Solution

The third proportional to 222,390 and 489,276 is: 1,076,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,390 : 489,276 = 489,276 : x
  2. Step 2: Convert to fraction form
    222,390/489,276 = 489,276/x
  3. Step 3: Cross multiply
    222,390x = 489,276 × 489,276
  4. Step 4: Simplify right side
    222,390x = 239,391,004,176
  5. Step 5: Solve for x
    x = 239,391,004,176/222,390
  6. Step 6: Final answer
    x = 1,076,446.80

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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.