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Finding the Third Proportional to 212,229 and 461,286

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Solution

The third proportional to 212,229 and 461,286 is: 1,002,618.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,229 : 461,286 = 461,286 : x
  2. Step 2: Convert to fraction form
    212,229/461,286 = 461,286/x
  3. Step 3: Cross multiply
    212,229x = 461,286 × 461,286
  4. Step 4: Simplify right side
    212,229x = 212,784,773,796
  5. Step 5: Solve for x
    x = 212,784,773,796/212,229
  6. Step 6: Final answer
    x = 1,002,618.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.