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Finding the Third Proportional to 95,544.56 and 204,894.56

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Solution

The third proportional to 95,544.56 and 204,894.56 is: 439,394.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,544.56 : 204,894.56 = 204,894.56 : x
  2. Step 2: Convert to fraction form
    95,544.56/204,894.56 = 204,894.56/x
  3. Step 3: Cross multiply
    95,544.56x = 204,894.56 × 204,894.56
  4. Step 4: Simplify right side
    95,544.56x = 41,981,781,742.07
  5. Step 5: Solve for x
    x = 41,981,781,742.07/95,544.56
  6. Step 6: Final answer
    x = 439,394.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.