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Finding the Third Proportional to 217,964 and 461,857

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Solution

The third proportional to 217,964 and 461,857 is: 978,656.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,964 : 461,857 = 461,857 : x
  2. Step 2: Convert to fraction form
    217,964/461,857 = 461,857/x
  3. Step 3: Cross multiply
    217,964x = 461,857 × 461,857
  4. Step 4: Simplify right side
    217,964x = 213,311,888,449
  5. Step 5: Solve for x
    x = 213,311,888,449/217,964
  6. Step 6: Final answer
    x = 978,656.51

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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.