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Finding the Third Proportional to 171,891 and 378,652

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Solution

The third proportional to 171,891 and 378,652 is: 834,117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,891 : 378,652 = 378,652 : x
  2. Step 2: Convert to fraction form
    171,891/378,652 = 378,652/x
  3. Step 3: Cross multiply
    171,891x = 378,652 × 378,652
  4. Step 4: Simplify right side
    171,891x = 143,377,337,104
  5. Step 5: Solve for x
    x = 143,377,337,104/171,891
  6. Step 6: Final answer
    x = 834,117.77

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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.