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Finding the Third Proportional to 339,665 and 694,078

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Solution

The third proportional to 339,665 and 694,078 is: 1,418,292.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,665 : 694,078 = 694,078 : x
  2. Step 2: Convert to fraction form
    339,665/694,078 = 694,078/x
  3. Step 3: Cross multiply
    339,665x = 694,078 × 694,078
  4. Step 4: Simplify right side
    339,665x = 481,744,270,084
  5. Step 5: Solve for x
    x = 481,744,270,084/339,665
  6. Step 6: Final answer
    x = 1,418,292.35

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.