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Finding the Third Proportional to 381,256 and 825,273

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Solution

The third proportional to 381,256 and 825,273 is: 1,786,399.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,256 : 825,273 = 825,273 : x
  2. Step 2: Convert to fraction form
    381,256/825,273 = 825,273/x
  3. Step 3: Cross multiply
    381,256x = 825,273 × 825,273
  4. Step 4: Simplify right side
    381,256x = 681,075,524,529
  5. Step 5: Solve for x
    x = 681,075,524,529/381,256
  6. Step 6: Final answer
    x = 1,786,399.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.