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Finding the Third Proportional to 253,978 and 379,721

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Solution

The third proportional to 253,978 and 379,721 is: 567,718.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,978 : 379,721 = 379,721 : x
  2. Step 2: Convert to fraction form
    253,978/379,721 = 379,721/x
  3. Step 3: Cross multiply
    253,978x = 379,721 × 379,721
  4. Step 4: Simplify right side
    253,978x = 144,188,037,841
  5. Step 5: Solve for x
    x = 144,188,037,841/253,978
  6. Step 6: Final answer
    x = 567,718.61

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