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Finding the Third Proportional to 172,824 and 268,227

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Solution

The third proportional to 172,824 and 268,227 is: 416,294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,824 : 268,227 = 268,227 : x
  2. Step 2: Convert to fraction form
    172,824/268,227 = 268,227/x
  3. Step 3: Cross multiply
    172,824x = 268,227 × 268,227
  4. Step 4: Simplify right side
    172,824x = 71,945,723,529
  5. Step 5: Solve for x
    x = 71,945,723,529/172,824
  6. Step 6: Final answer
    x = 416,294.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.