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Finding the Third Proportional to 253,447 and 379,419

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Solution

The third proportional to 253,447 and 379,419 is: 568,003.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,447 : 379,419 = 379,419 : x
  2. Step 2: Convert to fraction form
    253,447/379,419 = 379,419/x
  3. Step 3: Cross multiply
    253,447x = 379,419 × 379,419
  4. Step 4: Simplify right side
    253,447x = 143,958,777,561
  5. Step 5: Solve for x
    x = 143,958,777,561/253,447
  6. Step 6: Final answer
    x = 568,003.48

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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.