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Finding the Third Proportional to 394,920.56 and 820,206

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Solution

The third proportional to 394,920.56 and 820,206 is: 1,703,476.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,920.56 : 820,206 = 820,206 : x
  2. Step 2: Convert to fraction form
    394,920.56/820,206 = 820,206/x
  3. Step 3: Cross multiply
    394,920.56x = 820,206 × 820,206
  4. Step 4: Simplify right side
    394,920.56x = 672,737,882,436
  5. Step 5: Solve for x
    x = 672,737,882,436/394,920.56
  6. Step 6: Final answer
    x = 1,703,476.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.