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Finding the Third Proportional to 221,667 and 324,640

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Solution

The third proportional to 221,667 and 324,640 is: 475,447.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,667 : 324,640 = 324,640 : x
  2. Step 2: Convert to fraction form
    221,667/324,640 = 324,640/x
  3. Step 3: Cross multiply
    221,667x = 324,640 × 324,640
  4. Step 4: Simplify right side
    221,667x = 105,391,129,600
  5. Step 5: Solve for x
    x = 105,391,129,600/221,667
  6. Step 6: Final answer
    x = 475,447.99

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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.