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Finding the Third Proportional to 85,857 and 188,115

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Solution

The third proportional to 85,857 and 188,115 is: 412,165.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,857 : 188,115 = 188,115 : x
  2. Step 2: Convert to fraction form
    85,857/188,115 = 188,115/x
  3. Step 3: Cross multiply
    85,857x = 188,115 × 188,115
  4. Step 4: Simplify right side
    85,857x = 35,387,253,225
  5. Step 5: Solve for x
    x = 35,387,253,225/85,857
  6. Step 6: Final answer
    x = 412,165.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.