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Finding the Third Proportional to 40,372 and 82,381

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Solution

The third proportional to 40,372 and 82,381 is: 168,102.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,372 : 82,381 = 82,381 : x
  2. Step 2: Convert to fraction form
    40,372/82,381 = 82,381/x
  3. Step 3: Cross multiply
    40,372x = 82,381 × 82,381
  4. Step 4: Simplify right side
    40,372x = 6,786,629,161
  5. Step 5: Solve for x
    x = 6,786,629,161/40,372
  6. Step 6: Final answer
    x = 168,102.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.