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Finding the Third Proportional to 81,198 and 175,320

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Solution

The third proportional to 81,198 and 175,320 is: 378,545.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,198 : 175,320 = 175,320 : x
  2. Step 2: Convert to fraction form
    81,198/175,320 = 175,320/x
  3. Step 3: Cross multiply
    81,198x = 175,320 × 175,320
  4. Step 4: Simplify right side
    81,198x = 30,737,102,400
  5. Step 5: Solve for x
    x = 30,737,102,400/81,198
  6. Step 6: Final answer
    x = 378,545.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.