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Finding the Third Proportional to 13,081 and 20,015

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Solution

The third proportional to 13,081 and 20,015 is: 30,624.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,081 : 20,015 = 20,015 : x
  2. Step 2: Convert to fraction form
    13,081/20,015 = 20,015/x
  3. Step 3: Cross multiply
    13,081x = 20,015 × 20,015
  4. Step 4: Simplify right side
    13,081x = 400,600,225
  5. Step 5: Solve for x
    x = 400,600,225/13,081
  6. Step 6: Final answer
    x = 30,624.59

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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.