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Finding the Third Proportional to 41,678 and 91,189

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Solution

The third proportional to 41,678 and 91,189 is: 199,516.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,678 : 91,189 = 91,189 : x
  2. Step 2: Convert to fraction form
    41,678/91,189 = 91,189/x
  3. Step 3: Cross multiply
    41,678x = 91,189 × 91,189
  4. Step 4: Simplify right side
    41,678x = 8,315,433,721
  5. Step 5: Solve for x
    x = 8,315,433,721/41,678
  6. Step 6: Final answer
    x = 199,516.14

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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.