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Finding the Third Proportional to 339,418 and 670,268

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Solution

The third proportional to 339,418 and 670,268 is: 1,323,616.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,418 : 670,268 = 670,268 : x
  2. Step 2: Convert to fraction form
    339,418/670,268 = 670,268/x
  3. Step 3: Cross multiply
    339,418x = 670,268 × 670,268
  4. Step 4: Simplify right side
    339,418x = 449,259,191,824
  5. Step 5: Solve for x
    x = 449,259,191,824/339,418
  6. Step 6: Final answer
    x = 1,323,616.28

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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.