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Finding the Third Proportional to 217,644 and 461,412

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Solution

The third proportional to 217,644 and 461,412 is: 978,207.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,644 : 461,412 = 461,412 : x
  2. Step 2: Convert to fraction form
    217,644/461,412 = 461,412/x
  3. Step 3: Cross multiply
    217,644x = 461,412 × 461,412
  4. Step 4: Simplify right side
    217,644x = 212,901,033,744
  5. Step 5: Solve for x
    x = 212,901,033,744/217,644
  6. Step 6: Final answer
    x = 978,207.69

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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.