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Finding the Third Proportional to 13,402.13 and 20,103.19

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Solution

The third proportional to 13,402.13 and 20,103.19 is: 30,154.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.13 : 20,103.19 = 20,103.19 : x
  2. Step 2: Convert to fraction form
    13,402.13/20,103.19 = 20,103.19/x
  3. Step 3: Cross multiply
    13,402.13x = 20,103.19 × 20,103.19
  4. Step 4: Simplify right side
    13,402.13x = 404,138,147.66
  5. Step 5: Solve for x
    x = 404,138,147.66/13,402.13
  6. Step 6: Final answer
    x = 30,154.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.