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Finding the Third Proportional to 222,180 and 344,126

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Solution

The third proportional to 222,180 and 344,126 is: 533,003.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,180 : 344,126 = 344,126 : x
  2. Step 2: Convert to fraction form
    222,180/344,126 = 344,126/x
  3. Step 3: Cross multiply
    222,180x = 344,126 × 344,126
  4. Step 4: Simplify right side
    222,180x = 118,422,703,876
  5. Step 5: Solve for x
    x = 118,422,703,876/222,180
  6. Step 6: Final answer
    x = 533,003.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.