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Finding the Third Proportional to 221,760 and 394,272

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Solution

The third proportional to 221,760 and 394,272 is: 700,984.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,760 : 394,272 = 394,272 : x
  2. Step 2: Convert to fraction form
    221,760/394,272 = 394,272/x
  3. Step 3: Cross multiply
    221,760x = 394,272 × 394,272
  4. Step 4: Simplify right side
    221,760x = 155,450,409,984
  5. Step 5: Solve for x
    x = 155,450,409,984/221,760
  6. Step 6: Final answer
    x = 700,984.89

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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.