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Finding the Third Proportional to 41,032 and 88,976

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Solution

The third proportional to 41,032 and 88,976 is: 192,940.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,032 : 88,976 = 88,976 : x
  2. Step 2: Convert to fraction form
    41,032/88,976 = 88,976/x
  3. Step 3: Cross multiply
    41,032x = 88,976 × 88,976
  4. Step 4: Simplify right side
    41,032x = 7,916,728,576
  5. Step 5: Solve for x
    x = 7,916,728,576/41,032
  6. Step 6: Final answer
    x = 192,940.35

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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.