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Finding the Third Proportional to 85,864 and 188,855

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Solution

The third proportional to 85,864 and 188,855 is: 415,380.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,864 : 188,855 = 188,855 : x
  2. Step 2: Convert to fraction form
    85,864/188,855 = 188,855/x
  3. Step 3: Cross multiply
    85,864x = 188,855 × 188,855
  4. Step 4: Simplify right side
    85,864x = 35,666,211,025
  5. Step 5: Solve for x
    x = 35,666,211,025/85,864
  6. Step 6: Final answer
    x = 415,380.26

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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.