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Finding the Third Proportional to 8,638 and 13,077

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Solution

The third proportional to 8,638 and 13,077 is: 19,797.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638 : 13,077 = 13,077 : x
  2. Step 2: Convert to fraction form
    8,638/13,077 = 13,077/x
  3. Step 3: Cross multiply
    8,638x = 13,077 × 13,077
  4. Step 4: Simplify right side
    8,638x = 171,007,929
  5. Step 5: Solve for x
    x = 171,007,929/8,638
  6. Step 6: Final answer
    x = 19,797.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.