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Finding the Third Proportional to 299,743.50 and 641,998.50

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Solution

The third proportional to 299,743.50 and 641,998.50 is: 1,375,049.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,743.50 : 641,998.50 = 641,998.50 : x
  2. Step 2: Convert to fraction form
    299,743.50/641,998.50 = 641,998.50/x
  3. Step 3: Cross multiply
    299,743.50x = 641,998.50 × 641,998.50
  4. Step 4: Simplify right side
    299,743.50x = 412,162,074,002.25
  5. Step 5: Solve for x
    x = 412,162,074,002.25/299,743.50
  6. Step 6: Final answer
    x = 1,375,049.25

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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.