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Finding the Third Proportional to 339,708 and 694,156

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Solution

The third proportional to 339,708 and 694,156 is: 1,418,431.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,708 : 694,156 = 694,156 : x
  2. Step 2: Convert to fraction form
    339,708/694,156 = 694,156/x
  3. Step 3: Cross multiply
    339,708x = 694,156 × 694,156
  4. Step 4: Simplify right side
    339,708x = 481,852,552,336
  5. Step 5: Solve for x
    x = 481,852,552,336/339,708
  6. Step 6: Final answer
    x = 1,418,431.57

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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.