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Finding the Third Proportional to 7,737 and 13,794

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Solution

The third proportional to 7,737 and 13,794 is: 24,592.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737 : 13,794 = 13,794 : x
  2. Step 2: Convert to fraction form
    7,737/13,794 = 13,794/x
  3. Step 3: Cross multiply
    7,737x = 13,794 × 13,794
  4. Step 4: Simplify right side
    7,737x = 190,274,436
  5. Step 5: Solve for x
    x = 190,274,436/7,737
  6. Step 6: Final answer
    x = 24,592.79

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.