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Finding the Third Proportional to 322,105 and 686,867

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Solution

The third proportional to 322,105 and 686,867 is: 1,464,697.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,105 : 686,867 = 686,867 : x
  2. Step 2: Convert to fraction form
    322,105/686,867 = 686,867/x
  3. Step 3: Cross multiply
    322,105x = 686,867 × 686,867
  4. Step 4: Simplify right side
    322,105x = 471,786,275,689
  5. Step 5: Solve for x
    x = 471,786,275,689/322,105
  6. Step 6: Final answer
    x = 1,464,697.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.