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Finding the Third Proportional to 129,215 and 204,893

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Solution

The third proportional to 129,215 and 204,893 is: 324,893.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,215 : 204,893 = 204,893 : x
  2. Step 2: Convert to fraction form
    129,215/204,893 = 204,893/x
  3. Step 3: Cross multiply
    129,215x = 204,893 × 204,893
  4. Step 4: Simplify right side
    129,215x = 41,981,141,449
  5. Step 5: Solve for x
    x = 41,981,141,449/129,215
  6. Step 6: Final answer
    x = 324,893.72

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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.