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Finding the Third Proportional to 299,440 and 450,372

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Solution

The third proportional to 299,440 and 450,372 is: 677,380.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,440 : 450,372 = 450,372 : x
  2. Step 2: Convert to fraction form
    299,440/450,372 = 450,372/x
  3. Step 3: Cross multiply
    299,440x = 450,372 × 450,372
  4. Step 4: Simplify right side
    299,440x = 202,834,938,384
  5. Step 5: Solve for x
    x = 202,834,938,384/299,440
  6. Step 6: Final answer
    x = 677,380.91

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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.