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Finding the Third Proportional to 223,137 and 339,940

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Solution

The third proportional to 223,137 and 339,940 is: 517,884.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,137 : 339,940 = 339,940 : x
  2. Step 2: Convert to fraction form
    223,137/339,940 = 339,940/x
  3. Step 3: Cross multiply
    223,137x = 339,940 × 339,940
  4. Step 4: Simplify right side
    223,137x = 115,559,203,600
  5. Step 5: Solve for x
    x = 115,559,203,600/223,137
  6. Step 6: Final answer
    x = 517,884.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.