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Finding the Third Proportional to 321,704 and 693,269

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Solution

The third proportional to 321,704 and 693,269 is: 1,493,987.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,704 : 693,269 = 693,269 : x
  2. Step 2: Convert to fraction form
    321,704/693,269 = 693,269/x
  3. Step 3: Cross multiply
    321,704x = 693,269 × 693,269
  4. Step 4: Simplify right side
    321,704x = 480,621,906,361
  5. Step 5: Solve for x
    x = 480,621,906,361/321,704
  6. Step 6: Final answer
    x = 1,493,987.97

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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.