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Finding the Third Proportional to 13,213.13 and 20,238.29

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Solution

The third proportional to 13,213.13 and 20,238.29 is: 30,998.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.13 : 20,238.29 = 20,238.29 : x
  2. Step 2: Convert to fraction form
    13,213.13/20,238.29 = 20,238.29/x
  3. Step 3: Cross multiply
    13,213.13x = 20,238.29 × 20,238.29
  4. Step 4: Simplify right side
    13,213.13x = 409,588,502.29
  5. Step 5: Solve for x
    x = 409,588,502.29/13,213.13
  6. Step 6: Final answer
    x = 30,998.61

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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.