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Finding the Third Proportional to 221,667 and 324,642

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Solution

The third proportional to 221,667 and 324,642 is: 475,453.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,667 : 324,642 = 324,642 : x
  2. Step 2: Convert to fraction form
    221,667/324,642 = 324,642/x
  3. Step 3: Cross multiply
    221,667x = 324,642 × 324,642
  4. Step 4: Simplify right side
    221,667x = 105,392,428,164
  5. Step 5: Solve for x
    x = 105,392,428,164/221,667
  6. Step 6: Final answer
    x = 475,453.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.