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Finding the Third Proportional to 311,942 and 638,635

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Solution

The third proportional to 311,942 and 638,635 is: 1,307,469.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,942 : 638,635 = 638,635 : x
  2. Step 2: Convert to fraction form
    311,942/638,635 = 638,635/x
  3. Step 3: Cross multiply
    311,942x = 638,635 × 638,635
  4. Step 4: Simplify right side
    311,942x = 407,854,663,225
  5. Step 5: Solve for x
    x = 407,854,663,225/311,942
  6. Step 6: Final answer
    x = 1,307,469.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.