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Finding the Third Proportional to 299,634 and 641,914

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Solution

The third proportional to 299,634 and 641,914 is: 1,375,189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,634 : 641,914 = 641,914 : x
  2. Step 2: Convert to fraction form
    299,634/641,914 = 641,914/x
  3. Step 3: Cross multiply
    299,634x = 641,914 × 641,914
  4. Step 4: Simplify right side
    299,634x = 412,053,583,396
  5. Step 5: Solve for x
    x = 412,053,583,396/299,634
  6. Step 6: Final answer
    x = 1,375,189.68

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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.