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Finding the Third Proportional to 222,228 and 344,190

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Solution

The third proportional to 222,228 and 344,190 is: 533,086.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,228 : 344,190 = 344,190 : x
  2. Step 2: Convert to fraction form
    222,228/344,190 = 344,190/x
  3. Step 3: Cross multiply
    222,228x = 344,190 × 344,190
  4. Step 4: Simplify right side
    222,228x = 118,466,756,100
  5. Step 5: Solve for x
    x = 118,466,756,100/222,228
  6. Step 6: Final answer
    x = 533,086.54

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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.