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Finding the Third Proportional to 339,078 and 461,766

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Solution

The third proportional to 339,078 and 461,766 is: 628,845.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,078 : 461,766 = 461,766 : x
  2. Step 2: Convert to fraction form
    339,078/461,766 = 461,766/x
  3. Step 3: Cross multiply
    339,078x = 461,766 × 461,766
  4. Step 4: Simplify right side
    339,078x = 213,227,838,756
  5. Step 5: Solve for x
    x = 213,227,838,756/339,078
  6. Step 6: Final answer
    x = 628,845.98

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.