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Finding the Third Proportional to 13,400 and 20,728

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Solution

The third proportional to 13,400 and 20,728 is: 32,063.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400 : 20,728 = 20,728 : x
  2. Step 2: Convert to fraction form
    13,400/20,728 = 20,728/x
  3. Step 3: Cross multiply
    13,400x = 20,728 × 20,728
  4. Step 4: Simplify right side
    13,400x = 429,649,984
  5. Step 5: Solve for x
    x = 429,649,984/13,400
  6. Step 6: Final answer
    x = 32,063.43

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Why These Related Problems?

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