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Finding the Third Proportional to 251,125.88 and 378,954.56

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Solution

The third proportional to 251,125.88 and 378,954.56 is: 571,850.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,125.88 : 378,954.56 = 378,954.56 : x
  2. Step 2: Convert to fraction form
    251,125.88/378,954.56 = 378,954.56/x
  3. Step 3: Cross multiply
    251,125.88x = 378,954.56 × 378,954.56
  4. Step 4: Simplify right side
    251,125.88x = 143,606,560,439.57
  5. Step 5: Solve for x
    x = 143,606,560,439.57/251,125.88
  6. Step 6: Final answer
    x = 571,850.91

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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.