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Finding the Third Proportional to 299,917 and 633,549

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Solution

The third proportional to 299,917 and 633,549 is: 1,338,318.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,917 : 633,549 = 633,549 : x
  2. Step 2: Convert to fraction form
    299,917/633,549 = 633,549/x
  3. Step 3: Cross multiply
    299,917x = 633,549 × 633,549
  4. Step 4: Simplify right side
    299,917x = 401,384,335,401
  5. Step 5: Solve for x
    x = 401,384,335,401/299,917
  6. Step 6: Final answer
    x = 1,338,318.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.