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Finding the Third Proportional to 299,627 and 641,902

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Solution

The third proportional to 299,627 and 641,902 is: 1,375,170.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,627 : 641,902 = 641,902 : x
  2. Step 2: Convert to fraction form
    299,627/641,902 = 641,902/x
  3. Step 3: Cross multiply
    299,627x = 641,902 × 641,902
  4. Step 4: Simplify right side
    299,627x = 412,038,177,604
  5. Step 5: Solve for x
    x = 412,038,177,604/299,627
  6. Step 6: Final answer
    x = 1,375,170.39

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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.