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Finding the Third Proportional to 13,745.64 and 20,144.32

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Solution

The third proportional to 13,745.64 and 20,144.32 is: 29,521.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.64 : 20,144.32 = 20,144.32 : x
  2. Step 2: Convert to fraction form
    13,745.64/20,144.32 = 20,144.32/x
  3. Step 3: Cross multiply
    13,745.64x = 20,144.32 × 20,144.32
  4. Step 4: Simplify right side
    13,745.64x = 405,793,640.85
  5. Step 5: Solve for x
    x = 405,793,640.85/13,745.64
  6. Step 6: Final answer
    x = 29,521.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.