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Finding the Third Proportional to 166,999 and 339,831

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Solution

The third proportional to 166,999 and 339,831 is: 691,531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,999 : 339,831 = 339,831 : x
  2. Step 2: Convert to fraction form
    166,999/339,831 = 339,831/x
  3. Step 3: Cross multiply
    166,999x = 339,831 × 339,831
  4. Step 4: Simplify right side
    166,999x = 115,485,108,561
  5. Step 5: Solve for x
    x = 115,485,108,561/166,999
  6. Step 6: Final answer
    x = 691,531.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.