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Finding the Third Proportional to 221,762 and 394,276

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Solution

The third proportional to 221,762 and 394,276 is: 700,992.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,762 : 394,276 = 394,276 : x
  2. Step 2: Convert to fraction form
    221,762/394,276 = 394,276/x
  3. Step 3: Cross multiply
    221,762x = 394,276 × 394,276
  4. Step 4: Simplify right side
    221,762x = 155,453,564,176
  5. Step 5: Solve for x
    x = 155,453,564,176/221,762
  6. Step 6: Final answer
    x = 700,992.79

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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.