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Finding the Third Proportional to 81,279 and 195,804

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Solution

The third proportional to 81,279 and 195,804 is: 471,698.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,279 : 195,804 = 195,804 : x
  2. Step 2: Convert to fraction form
    81,279/195,804 = 195,804/x
  3. Step 3: Cross multiply
    81,279x = 195,804 × 195,804
  4. Step 4: Simplify right side
    81,279x = 38,339,206,416
  5. Step 5: Solve for x
    x = 38,339,206,416/81,279
  6. Step 6: Final answer
    x = 471,698.80

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.