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Finding the Third Proportional to 221,694 and 324,680

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Solution

The third proportional to 221,694 and 324,680 is: 475,507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,694 : 324,680 = 324,680 : x
  2. Step 2: Convert to fraction form
    221,694/324,680 = 324,680/x
  3. Step 3: Cross multiply
    221,694x = 324,680 × 324,680
  4. Step 4: Simplify right side
    221,694x = 105,417,102,400
  5. Step 5: Solve for x
    x = 105,417,102,400/221,694
  6. Step 6: Final answer
    x = 475,507.24

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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.