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Finding the Third Proportional to 299,446 and 450,384

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Solution

The third proportional to 299,446 and 450,384 is: 677,403.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,446 : 450,384 = 450,384 : x
  2. Step 2: Convert to fraction form
    299,446/450,384 = 450,384/x
  3. Step 3: Cross multiply
    299,446x = 450,384 × 450,384
  4. Step 4: Simplify right side
    299,446x = 202,845,747,456
  5. Step 5: Solve for x
    x = 202,845,747,456/299,446
  6. Step 6: Final answer
    x = 677,403.43

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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.