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Finding the Third Proportional to 322,288 and 691,206

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Solution

The third proportional to 322,288 and 691,206 is: 1,482,418.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,288 : 691,206 = 691,206 : x
  2. Step 2: Convert to fraction form
    322,288/691,206 = 691,206/x
  3. Step 3: Cross multiply
    322,288x = 691,206 × 691,206
  4. Step 4: Simplify right side
    322,288x = 477,765,734,436
  5. Step 5: Solve for x
    x = 477,765,734,436/322,288
  6. Step 6: Final answer
    x = 1,482,418.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.