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Finding the Third Proportional to 268,938 and 395,631

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Solution

The third proportional to 268,938 and 395,631 is: 582,007.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,938 : 395,631 = 395,631 : x
  2. Step 2: Convert to fraction form
    268,938/395,631 = 395,631/x
  3. Step 3: Cross multiply
    268,938x = 395,631 × 395,631
  4. Step 4: Simplify right side
    268,938x = 156,523,888,161
  5. Step 5: Solve for x
    x = 156,523,888,161/268,938
  6. Step 6: Final answer
    x = 582,007.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.