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Finding the Third Proportional to 339,712 and 694,164

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Solution

The third proportional to 339,712 and 694,164 is: 1,418,447.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,712 : 694,164 = 694,164 : x
  2. Step 2: Convert to fraction form
    339,712/694,164 = 694,164/x
  3. Step 3: Cross multiply
    339,712x = 694,164 × 694,164
  4. Step 4: Simplify right side
    339,712x = 481,863,658,896
  5. Step 5: Solve for x
    x = 481,863,658,896/339,712
  6. Step 6: Final answer
    x = 1,418,447.56

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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.