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Finding the Third Proportional to 222,543 and 339,420

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Solution

The third proportional to 222,543 and 339,420 is: 517,679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,543 : 339,420 = 339,420 : x
  2. Step 2: Convert to fraction form
    222,543/339,420 = 339,420/x
  3. Step 3: Cross multiply
    222,543x = 339,420 × 339,420
  4. Step 4: Simplify right side
    222,543x = 115,205,936,400
  5. Step 5: Solve for x
    x = 115,205,936,400/222,543
  6. Step 6: Final answer
    x = 517,679.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.