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Finding the Third Proportional to 253,449 and 379,422

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Solution

The third proportional to 253,449 and 379,422 is: 568,007.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,449 : 379,422 = 379,422 : x
  2. Step 2: Convert to fraction form
    253,449/379,422 = 379,422/x
  3. Step 3: Cross multiply
    253,449x = 379,422 × 379,422
  4. Step 4: Simplify right side
    253,449x = 143,961,054,084
  5. Step 5: Solve for x
    x = 143,961,054,084/253,449
  6. Step 6: Final answer
    x = 568,007.98

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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.