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Finding the Third Proportional to 217,281 and 324,661

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Solution

The third proportional to 217,281 and 324,661 is: 485,108.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,281 : 324,661 = 324,661 : x
  2. Step 2: Convert to fraction form
    217,281/324,661 = 324,661/x
  3. Step 3: Cross multiply
    217,281x = 324,661 × 324,661
  4. Step 4: Simplify right side
    217,281x = 105,404,764,921
  5. Step 5: Solve for x
    x = 105,404,764,921/217,281
  6. Step 6: Final answer
    x = 485,108.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.