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Finding the Third Proportional to 171,954 and 378,780

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Solution

The third proportional to 171,954 and 378,780 is: 834,375.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,954 : 378,780 = 378,780 : x
  2. Step 2: Convert to fraction form
    171,954/378,780 = 378,780/x
  3. Step 3: Cross multiply
    171,954x = 378,780 × 378,780
  4. Step 4: Simplify right side
    171,954x = 143,474,288,400
  5. Step 5: Solve for x
    x = 143,474,288,400/171,954
  6. Step 6: Final answer
    x = 834,375.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.