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Finding the Third Proportional to 311,962 and 344,766

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Solution

The third proportional to 311,962 and 344,766 is: 381,019.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,962 : 344,766 = 344,766 : x
  2. Step 2: Convert to fraction form
    311,962/344,766 = 344,766/x
  3. Step 3: Cross multiply
    311,962x = 344,766 × 344,766
  4. Step 4: Simplify right side
    311,962x = 118,863,594,756
  5. Step 5: Solve for x
    x = 118,863,594,756/311,962
  6. Step 6: Final answer
    x = 381,019.47

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.