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Finding the Third Proportional to 85,878 and 189,198

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Solution

The third proportional to 85,878 and 189,198 is: 416,822.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,878 : 189,198 = 189,198 : x
  2. Step 2: Convert to fraction form
    85,878/189,198 = 189,198/x
  3. Step 3: Cross multiply
    85,878x = 189,198 × 189,198
  4. Step 4: Simplify right side
    85,878x = 35,795,883,204
  5. Step 5: Solve for x
    x = 35,795,883,204/85,878
  6. Step 6: Final answer
    x = 416,822.51

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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.