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Finding the Third Proportional to 38,274 and 81,182

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Solution

The third proportional to 38,274 and 81,182 is: 172,193.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,274 : 81,182 = 81,182 : x
  2. Step 2: Convert to fraction form
    38,274/81,182 = 81,182/x
  3. Step 3: Cross multiply
    38,274x = 81,182 × 81,182
  4. Step 4: Simplify right side
    38,274x = 6,590,517,124
  5. Step 5: Solve for x
    x = 6,590,517,124/38,274
  6. Step 6: Final answer
    x = 172,193.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.