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Finding the Third Proportional to 339,497 and 737,401

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Solution

The third proportional to 339,497 and 737,401 is: 1,601,664.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,497 : 737,401 = 737,401 : x
  2. Step 2: Convert to fraction form
    339,497/737,401 = 737,401/x
  3. Step 3: Cross multiply
    339,497x = 737,401 × 737,401
  4. Step 4: Simplify right side
    339,497x = 543,760,234,801
  5. Step 5: Solve for x
    x = 543,760,234,801/339,497
  6. Step 6: Final answer
    x = 1,601,664.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.