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Finding the Third Proportional to 23,376 and 33,601

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Solution

The third proportional to 23,376 and 33,601 is: 48,298.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,376 : 33,601 = 33,601 : x
  2. Step 2: Convert to fraction form
    23,376/33,601 = 33,601/x
  3. Step 3: Cross multiply
    23,376x = 33,601 × 33,601
  4. Step 4: Simplify right side
    23,376x = 1,129,027,201
  5. Step 5: Solve for x
    x = 1,129,027,201/23,376
  6. Step 6: Final answer
    x = 48,298.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.