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Finding the Third Proportional to 299,735.25 and 641,982

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Solution

The third proportional to 299,735.25 and 641,982 is: 1,375,016.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,735.25 : 641,982 = 641,982 : x
  2. Step 2: Convert to fraction form
    299,735.25/641,982 = 641,982/x
  3. Step 3: Cross multiply
    299,735.25x = 641,982 × 641,982
  4. Step 4: Simplify right side
    299,735.25x = 412,140,888,324
  5. Step 5: Solve for x
    x = 412,140,888,324/299,735.25
  6. Step 6: Final answer
    x = 1,375,016.41

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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.