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Finding the Third Proportional to 81,876 and 130,196

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Solution

The third proportional to 81,876 and 130,196 is: 207,032.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,876 : 130,196 = 130,196 : x
  2. Step 2: Convert to fraction form
    81,876/130,196 = 130,196/x
  3. Step 3: Cross multiply
    81,876x = 130,196 × 130,196
  4. Step 4: Simplify right side
    81,876x = 16,950,998,416
  5. Step 5: Solve for x
    x = 16,950,998,416/81,876
  6. Step 6: Final answer
    x = 207,032.57

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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.