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Finding the Third Proportional to 299,625 and 641,898

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Solution

The third proportional to 299,625 and 641,898 is: 1,375,162.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,625 : 641,898 = 641,898 : x
  2. Step 2: Convert to fraction form
    299,625/641,898 = 641,898/x
  3. Step 3: Cross multiply
    299,625x = 641,898 × 641,898
  4. Step 4: Simplify right side
    299,625x = 412,033,042,404
  5. Step 5: Solve for x
    x = 412,033,042,404/299,625
  6. Step 6: Final answer
    x = 1,375,162.43

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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.