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Finding the Third Proportional to 339,367 and 670,166

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Solution

The third proportional to 339,367 and 670,166 is: 1,323,412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,367 : 670,166 = 670,166 : x
  2. Step 2: Convert to fraction form
    339,367/670,166 = 670,166/x
  3. Step 3: Cross multiply
    339,367x = 670,166 × 670,166
  4. Step 4: Simplify right side
    339,367x = 449,122,467,556
  5. Step 5: Solve for x
    x = 449,122,467,556/339,367
  6. Step 6: Final answer
    x = 1,323,412.32

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.