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Finding the Third Proportional to 253,538 and 379,517

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Solution

The third proportional to 253,538 and 379,517 is: 568,092.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,538 : 379,517 = 379,517 : x
  2. Step 2: Convert to fraction form
    253,538/379,517 = 379,517/x
  3. Step 3: Cross multiply
    253,538x = 379,517 × 379,517
  4. Step 4: Simplify right side
    253,538x = 144,033,153,289
  5. Step 5: Solve for x
    x = 144,033,153,289/253,538
  6. Step 6: Final answer
    x = 568,092.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.