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Finding the Third Proportional to 82,856 and 117,129

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Solution

The third proportional to 82,856 and 117,129 is: 165,578.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,856 : 117,129 = 117,129 : x
  2. Step 2: Convert to fraction form
    82,856/117,129 = 117,129/x
  3. Step 3: Cross multiply
    82,856x = 117,129 × 117,129
  4. Step 4: Simplify right side
    82,856x = 13,719,202,641
  5. Step 5: Solve for x
    x = 13,719,202,641/82,856
  6. Step 6: Final answer
    x = 165,578.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.