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Finding the Third Proportional to 11,540 and 15,414

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Solution

The third proportional to 11,540 and 15,414 is: 20,588.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540 : 15,414 = 15,414 : x
  2. Step 2: Convert to fraction form
    11,540/15,414 = 15,414/x
  3. Step 3: Cross multiply
    11,540x = 15,414 × 15,414
  4. Step 4: Simplify right side
    11,540x = 237,591,396
  5. Step 5: Solve for x
    x = 237,591,396/11,540
  6. Step 6: Final answer
    x = 20,588.51

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.