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Finding the Third Proportional to 311,188 and 633,799

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Solution

The third proportional to 311,188 and 633,799 is: 1,290,863.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,188 : 633,799 = 633,799 : x
  2. Step 2: Convert to fraction form
    311,188/633,799 = 633,799/x
  3. Step 3: Cross multiply
    311,188x = 633,799 × 633,799
  4. Step 4: Simplify right side
    311,188x = 401,701,172,401
  5. Step 5: Solve for x
    x = 401,701,172,401/311,188
  6. Step 6: Final answer
    x = 1,290,863.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.