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Finding the Third Proportional to 5,396 and 13,098

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Solution

The third proportional to 5,396 and 13,098 is: 31,793.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396 : 13,098 = 13,098 : x
  2. Step 2: Convert to fraction form
    5,396/13,098 = 13,098/x
  3. Step 3: Cross multiply
    5,396x = 13,098 × 13,098
  4. Step 4: Simplify right side
    5,396x = 171,557,604
  5. Step 5: Solve for x
    x = 171,557,604/5,396
  6. Step 6: Final answer
    x = 31,793.48

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.