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Finding the Third Proportional to 321,675 and 679,638

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Solution

The third proportional to 321,675 and 679,638 is: 1,435,945.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,675 : 679,638 = 679,638 : x
  2. Step 2: Convert to fraction form
    321,675/679,638 = 679,638/x
  3. Step 3: Cross multiply
    321,675x = 679,638 × 679,638
  4. Step 4: Simplify right side
    321,675x = 461,907,811,044
  5. Step 5: Solve for x
    x = 461,907,811,044/321,675
  6. Step 6: Final answer
    x = 1,435,945.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.