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Finding the Third Proportional to 11,080 and 23,396

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Solution

The third proportional to 11,080 and 23,396 is: 49,401.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,080 : 23,396 = 23,396 : x
  2. Step 2: Convert to fraction form
    11,080/23,396 = 23,396/x
  3. Step 3: Cross multiply
    11,080x = 23,396 × 23,396
  4. Step 4: Simplify right side
    11,080x = 547,372,816
  5. Step 5: Solve for x
    x = 547,372,816/11,080
  6. Step 6: Final answer
    x = 49,401.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.