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Finding the Third Proportional to 217,966 and 461,860

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Solution

The third proportional to 217,966 and 461,860 is: 978,660.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,966 : 461,860 = 461,860 : x
  2. Step 2: Convert to fraction form
    217,966/461,860 = 461,860/x
  3. Step 3: Cross multiply
    217,966x = 461,860 × 461,860
  4. Step 4: Simplify right side
    217,966x = 213,314,659,600
  5. Step 5: Solve for x
    x = 213,314,659,600/217,966
  6. Step 6: Final answer
    x = 978,660.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.