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Finding the Third Proportional to 128,825 and 204,434

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Solution

The third proportional to 128,825 and 204,434 is: 324,418.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,825 : 204,434 = 204,434 : x
  2. Step 2: Convert to fraction form
    128,825/204,434 = 204,434/x
  3. Step 3: Cross multiply
    128,825x = 204,434 × 204,434
  4. Step 4: Simplify right side
    128,825x = 41,793,260,356
  5. Step 5: Solve for x
    x = 41,793,260,356/128,825
  6. Step 6: Final answer
    x = 324,418.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.