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Finding the Third Proportional to 20,728 and 38,144

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Solution

The third proportional to 20,728 and 38,144 is: 70,193.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,728 : 38,144 = 38,144 : x
  2. Step 2: Convert to fraction form
    20,728/38,144 = 38,144/x
  3. Step 3: Cross multiply
    20,728x = 38,144 × 38,144
  4. Step 4: Simplify right side
    20,728x = 1,454,964,736
  5. Step 5: Solve for x
    x = 1,454,964,736/20,728
  6. Step 6: Final answer
    x = 70,193.20

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.