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Finding the Third Proportional to 81,865 and 178,305

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Solution

The third proportional to 81,865 and 178,305 is: 388,354.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,865 : 178,305 = 178,305 : x
  2. Step 2: Convert to fraction form
    81,865/178,305 = 178,305/x
  3. Step 3: Cross multiply
    81,865x = 178,305 × 178,305
  4. Step 4: Simplify right side
    81,865x = 31,792,673,025
  5. Step 5: Solve for x
    x = 31,792,673,025/81,865
  6. Step 6: Final answer
    x = 388,354.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.