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Finding the Third Proportional to 13,318 and 20,381

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Solution

The third proportional to 13,318 and 20,381 is: 31,189.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,318 : 20,381 = 20,381 : x
  2. Step 2: Convert to fraction form
    13,318/20,381 = 20,381/x
  3. Step 3: Cross multiply
    13,318x = 20,381 × 20,381
  4. Step 4: Simplify right side
    13,318x = 415,385,161
  5. Step 5: Solve for x
    x = 415,385,161/13,318
  6. Step 6: Final answer
    x = 31,189.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.