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Finding the Third Proportional to 38,818 and 83,171

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Solution

The third proportional to 38,818 and 83,171 is: 178,201.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,818 : 83,171 = 83,171 : x
  2. Step 2: Convert to fraction form
    38,818/83,171 = 83,171/x
  3. Step 3: Cross multiply
    38,818x = 83,171 × 83,171
  4. Step 4: Simplify right side
    38,818x = 6,917,415,241
  5. Step 5: Solve for x
    x = 6,917,415,241/38,818
  6. Step 6: Final answer
    x = 178,201.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.