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Finding the Third Proportional to 38,461 and 82,874

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Solution

The third proportional to 38,461 and 82,874 is: 178,573.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,461 : 82,874 = 82,874 : x
  2. Step 2: Convert to fraction form
    38,461/82,874 = 82,874/x
  3. Step 3: Cross multiply
    38,461x = 82,874 × 82,874
  4. Step 4: Simplify right side
    38,461x = 6,868,099,876
  5. Step 5: Solve for x
    x = 6,868,099,876/38,461
  6. Step 6: Final answer
    x = 178,573.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.