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Finding the Third Proportional to 299,544 and 641,208

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Solution

The third proportional to 299,544 and 641,208 is: 1,372,578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,544 : 641,208 = 641,208 : x
  2. Step 2: Convert to fraction form
    299,544/641,208 = 641,208/x
  3. Step 3: Cross multiply
    299,544x = 641,208 × 641,208
  4. Step 4: Simplify right side
    299,544x = 411,147,699,264
  5. Step 5: Solve for x
    x = 411,147,699,264/299,544
  6. Step 6: Final answer
    x = 1,372,578.65

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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.