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Finding the Third Proportional to 299,442 and 450,375

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Solution

The third proportional to 299,442 and 450,375 is: 677,385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,442 : 450,375 = 450,375 : x
  2. Step 2: Convert to fraction form
    299,442/450,375 = 450,375/x
  3. Step 3: Cross multiply
    299,442x = 450,375 × 450,375
  4. Step 4: Simplify right side
    299,442x = 202,837,640,625
  5. Step 5: Solve for x
    x = 202,837,640,625/299,442
  6. Step 6: Final answer
    x = 677,385.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.