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Finding the Third Proportional to 83,027 and 132,177

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Solution

The third proportional to 83,027 and 132,177 is: 210,422.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,027 : 132,177 = 132,177 : x
  2. Step 2: Convert to fraction form
    83,027/132,177 = 132,177/x
  3. Step 3: Cross multiply
    83,027x = 132,177 × 132,177
  4. Step 4: Simplify right side
    83,027x = 17,470,759,329
  5. Step 5: Solve for x
    x = 17,470,759,329/83,027
  6. Step 6: Final answer
    x = 210,422.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.