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Finding the Third Proportional to 321,476 and 691,339

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Solution

The third proportional to 321,476 and 691,339 is: 1,486,734.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,476 : 691,339 = 691,339 : x
  2. Step 2: Convert to fraction form
    321,476/691,339 = 691,339/x
  3. Step 3: Cross multiply
    321,476x = 691,339 × 691,339
  4. Step 4: Simplify right side
    321,476x = 477,949,612,921
  5. Step 5: Solve for x
    x = 477,949,612,921/321,476
  6. Step 6: Final answer
    x = 1,486,734.98

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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.