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Finding the Third Proportional to 81,863.25 and 178,945

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Solution

The third proportional to 81,863.25 and 178,945 is: 391,156.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,863.25 : 178,945 = 178,945 : x
  2. Step 2: Convert to fraction form
    81,863.25/178,945 = 178,945/x
  3. Step 3: Cross multiply
    81,863.25x = 178,945 × 178,945
  4. Step 4: Simplify right side
    81,863.25x = 32,021,313,025
  5. Step 5: Solve for x
    x = 32,021,313,025/81,863.25
  6. Step 6: Final answer
    x = 391,156.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.