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Finding the Third Proportional to 85,866 and 188,859

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Solution

The third proportional to 85,866 and 188,859 is: 415,388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,866 : 188,859 = 188,859 : x
  2. Step 2: Convert to fraction form
    85,866/188,859 = 188,859/x
  3. Step 3: Cross multiply
    85,866x = 188,859 × 188,859
  4. Step 4: Simplify right side
    85,866x = 35,667,721,881
  5. Step 5: Solve for x
    x = 35,667,721,881/85,866
  6. Step 6: Final answer
    x = 415,388.18

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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.