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Finding the Third Proportional to 11,728 and 13,538

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Solution

The third proportional to 11,728 and 13,538 is: 15,627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728 : 13,538 = 13,538 : x
  2. Step 2: Convert to fraction form
    11,728/13,538 = 13,538/x
  3. Step 3: Cross multiply
    11,728x = 13,538 × 13,538
  4. Step 4: Simplify right side
    11,728x = 183,277,444
  5. Step 5: Solve for x
    x = 183,277,444/11,728
  6. Step 6: Final answer
    x = 15,627.34

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.