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Finding the Third Proportional to 20,138 and 47,381

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Solution

The third proportional to 20,138 and 47,381 is: 111,478.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138 : 47,381 = 47,381 : x
  2. Step 2: Convert to fraction form
    20,138/47,381 = 47,381/x
  3. Step 3: Cross multiply
    20,138x = 47,381 × 47,381
  4. Step 4: Simplify right side
    20,138x = 2,244,959,161
  5. Step 5: Solve for x
    x = 2,244,959,161/20,138
  6. Step 6: Final answer
    x = 111,478.75

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.