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Finding the Third Proportional to 311,939 and 638,632

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Solution

The third proportional to 311,939 and 638,632 is: 1,307,469.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,939 : 638,632 = 638,632 : x
  2. Step 2: Convert to fraction form
    311,939/638,632 = 638,632/x
  3. Step 3: Cross multiply
    311,939x = 638,632 × 638,632
  4. Step 4: Simplify right side
    311,939x = 407,850,831,424
  5. Step 5: Solve for x
    x = 407,850,831,424/311,939
  6. Step 6: Final answer
    x = 1,307,469.83

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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.