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Finding the Third Proportional to 41,578 and 91,906

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Solution

The third proportional to 41,578 and 91,906 is: 203,153.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,578 : 91,906 = 91,906 : x
  2. Step 2: Convert to fraction form
    41,578/91,906 = 91,906/x
  3. Step 3: Cross multiply
    41,578x = 91,906 × 91,906
  4. Step 4: Simplify right side
    41,578x = 8,446,712,836
  5. Step 5: Solve for x
    x = 8,446,712,836/41,578
  6. Step 6: Final answer
    x = 203,153.42

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.