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Finding the Third Proportional to 13,550.25 and 20,208.38

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Solution

The third proportional to 13,550.25 and 20,208.38 is: 30,138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,550.25 : 20,208.38 = 20,208.38 : x
  2. Step 2: Convert to fraction form
    13,550.25/20,208.38 = 20,208.38/x
  3. Step 3: Cross multiply
    13,550.25x = 20,208.38 × 20,208.38
  4. Step 4: Simplify right side
    13,550.25x = 408,378,420.14
  5. Step 5: Solve for x
    x = 408,378,420.14/13,550.25
  6. Step 6: Final answer
    x = 30,138.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.