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Finding the Third Proportional to 13,007 and 20,131

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Solution

The third proportional to 13,007 and 20,131 is: 31,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007 : 20,131 = 20,131 : x
  2. Step 2: Convert to fraction form
    13,007/20,131 = 20,131/x
  3. Step 3: Cross multiply
    13,007x = 20,131 × 20,131
  4. Step 4: Simplify right side
    13,007x = 405,257,161
  5. Step 5: Solve for x
    x = 405,257,161/13,007
  6. Step 6: Final answer
    x = 31,156.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.