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Finding the Third Proportional to 82,101.75 and 178,218

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Solution

The third proportional to 82,101.75 and 178,218 is: 386,857.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,101.75 : 178,218 = 178,218 : x
  2. Step 2: Convert to fraction form
    82,101.75/178,218 = 178,218/x
  3. Step 3: Cross multiply
    82,101.75x = 178,218 × 178,218
  4. Step 4: Simplify right side
    82,101.75x = 31,761,655,524
  5. Step 5: Solve for x
    x = 31,761,655,524/82,101.75
  6. Step 6: Final answer
    x = 386,857.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.