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Finding the Third Proportional to 253,082 and 381,279

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Solution

The third proportional to 253,082 and 381,279 is: 574,413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,082 : 381,279 = 381,279 : x
  2. Step 2: Convert to fraction form
    253,082/381,279 = 381,279/x
  3. Step 3: Cross multiply
    253,082x = 381,279 × 381,279
  4. Step 4: Simplify right side
    253,082x = 145,373,675,841
  5. Step 5: Solve for x
    x = 145,373,675,841/253,082
  6. Step 6: Final answer
    x = 574,413.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.