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Finding the Third Proportional to 222,558 and 494,871

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Solution

The third proportional to 222,558 and 494,871 is: 1,100,375.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,558 : 494,871 = 494,871 : x
  2. Step 2: Convert to fraction form
    222,558/494,871 = 494,871/x
  3. Step 3: Cross multiply
    222,558x = 494,871 × 494,871
  4. Step 4: Simplify right side
    222,558x = 244,897,306,641
  5. Step 5: Solve for x
    x = 244,897,306,641/222,558
  6. Step 6: Final answer
    x = 1,100,375.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.