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Finding the Third Proportional to 13,440.25 and 20,896.38

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Solution

The third proportional to 13,440.25 and 20,896.38 is: 32,488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,440.25 : 20,896.38 = 20,896.38 : x
  2. Step 2: Convert to fraction form
    13,440.25/20,896.38 = 20,896.38/x
  3. Step 3: Cross multiply
    13,440.25x = 20,896.38 × 20,896.38
  4. Step 4: Simplify right side
    13,440.25x = 436,658,488.14
  5. Step 5: Solve for x
    x = 436,658,488.14/13,440.25
  6. Step 6: Final answer
    x = 32,488.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.