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Finding the Third Proportional to 5,198 and 11,548

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Solution

The third proportional to 5,198 and 11,548 is: 25,655.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198 : 11,548 = 11,548 : x
  2. Step 2: Convert to fraction form
    5,198/11,548 = 11,548/x
  3. Step 3: Cross multiply
    5,198x = 11,548 × 11,548
  4. Step 4: Simplify right side
    5,198x = 133,356,304
  5. Step 5: Solve for x
    x = 133,356,304/5,198
  6. Step 6: Final answer
    x = 25,655.31

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.