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Finding the Third Proportional to 221,722 and 394,196

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Solution

The third proportional to 221,722 and 394,196 is: 700,834.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,722 : 394,196 = 394,196 : x
  2. Step 2: Convert to fraction form
    221,722/394,196 = 394,196/x
  3. Step 3: Cross multiply
    221,722x = 394,196 × 394,196
  4. Step 4: Simplify right side
    221,722x = 155,390,486,416
  5. Step 5: Solve for x
    x = 155,390,486,416/221,722
  6. Step 6: Final answer
    x = 700,834.77

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.