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Finding the Third Proportional to 25,533 and 54,198

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Solution

The third proportional to 25,533 and 54,198 is: 115,044.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,533 : 54,198 = 54,198 : x
  2. Step 2: Convert to fraction form
    25,533/54,198 = 54,198/x
  3. Step 3: Cross multiply
    25,533x = 54,198 × 54,198
  4. Step 4: Simplify right side
    25,533x = 2,937,423,204
  5. Step 5: Solve for x
    x = 2,937,423,204/25,533
  6. Step 6: Final answer
    x = 115,044.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.