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Finding the Third Proportional to 299,638 and 641,922

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Solution

The third proportional to 299,638 and 641,922 is: 1,375,205.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,638 : 641,922 = 641,922 : x
  2. Step 2: Convert to fraction form
    299,638/641,922 = 641,922/x
  3. Step 3: Cross multiply
    299,638x = 641,922 × 641,922
  4. Step 4: Simplify right side
    299,638x = 412,063,854,084
  5. Step 5: Solve for x
    x = 412,063,854,084/299,638
  6. Step 6: Final answer
    x = 1,375,205.60

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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.