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Finding the Third Proportional to 311,114 and 664,874

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Solution

The third proportional to 311,114 and 664,874 is: 1,420,885.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,114 : 664,874 = 664,874 : x
  2. Step 2: Convert to fraction form
    311,114/664,874 = 664,874/x
  3. Step 3: Cross multiply
    311,114x = 664,874 × 664,874
  4. Step 4: Simplify right side
    311,114x = 442,057,435,876
  5. Step 5: Solve for x
    x = 442,057,435,876/311,114
  6. Step 6: Final answer
    x = 1,420,885.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.