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Finding the Third Proportional to 81,855 and 176,305

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Solution

The third proportional to 81,855 and 176,305 is: 379,737.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,855 : 176,305 = 176,305 : x
  2. Step 2: Convert to fraction form
    81,855/176,305 = 176,305/x
  3. Step 3: Cross multiply
    81,855x = 176,305 × 176,305
  4. Step 4: Simplify right side
    81,855x = 31,083,453,025
  5. Step 5: Solve for x
    x = 31,083,453,025/81,855
  6. Step 6: Final answer
    x = 379,737.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.