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Finding the Third Proportional to 321,422 and 691,218

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Solution

The third proportional to 321,422 and 691,218 is: 1,486,464.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,422 : 691,218 = 691,218 : x
  2. Step 2: Convert to fraction form
    321,422/691,218 = 691,218/x
  3. Step 3: Cross multiply
    321,422x = 691,218 × 691,218
  4. Step 4: Simplify right side
    321,422x = 477,782,323,524
  5. Step 5: Solve for x
    x = 477,782,323,524/321,422
  6. Step 6: Final answer
    x = 1,486,464.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.