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Finding the Third Proportional to 81,878.50 and 130,198

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Solution

The third proportional to 81,878.50 and 130,198 is: 207,032.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,878.50 : 130,198 = 130,198 : x
  2. Step 2: Convert to fraction form
    81,878.50/130,198 = 130,198/x
  3. Step 3: Cross multiply
    81,878.50x = 130,198 × 130,198
  4. Step 4: Simplify right side
    81,878.50x = 16,951,519,204
  5. Step 5: Solve for x
    x = 16,951,519,204/81,878.50
  6. Step 6: Final answer
    x = 207,032.61

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