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Finding the Third Proportional to 13,362.75 and 18,120.38

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Solution

The third proportional to 13,362.75 and 18,120.38 is: 24,571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,362.75 : 18,120.38 = 18,120.38 : x
  2. Step 2: Convert to fraction form
    13,362.75/18,120.38 = 18,120.38/x
  3. Step 3: Cross multiply
    13,362.75x = 18,120.38 × 18,120.38
  4. Step 4: Simplify right side
    13,362.75x = 328,347,990.14
  5. Step 5: Solve for x
    x = 328,347,990.14/13,362.75
  6. Step 6: Final answer
    x = 24,571.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.