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Finding the Third Proportional to 8,103 and 13,231

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Solution

The third proportional to 8,103 and 13,231 is: 21,604.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103 : 13,231 = 13,231 : x
  2. Step 2: Convert to fraction form
    8,103/13,231 = 13,231/x
  3. Step 3: Cross multiply
    8,103x = 13,231 × 13,231
  4. Step 4: Simplify right side
    8,103x = 175,059,361
  5. Step 5: Solve for x
    x = 175,059,361/8,103
  6. Step 6: Final answer
    x = 21,604.27

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.