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Finding the Third Proportional to 85,847 and 186,471

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Solution

The third proportional to 85,847 and 186,471 is: 405,039.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,847 : 186,471 = 186,471 : x
  2. Step 2: Convert to fraction form
    85,847/186,471 = 186,471/x
  3. Step 3: Cross multiply
    85,847x = 186,471 × 186,471
  4. Step 4: Simplify right side
    85,847x = 34,771,433,841
  5. Step 5: Solve for x
    x = 34,771,433,841/85,847
  6. Step 6: Final answer
    x = 405,039.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.