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Finding the Third Proportional to 101,958 and 217,866

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Solution

The third proportional to 101,958 and 217,866 is: 465,540.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,958 : 217,866 = 217,866 : x
  2. Step 2: Convert to fraction form
    101,958/217,866 = 217,866/x
  3. Step 3: Cross multiply
    101,958x = 217,866 × 217,866
  4. Step 4: Simplify right side
    101,958x = 47,465,593,956
  5. Step 5: Solve for x
    x = 47,465,593,956/101,958
  6. Step 6: Final answer
    x = 465,540.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.