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Finding the Third Proportional to 414,344 and 639,831

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Solution

The third proportional to 414,344 and 639,831 is: 988,028.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,344 : 639,831 = 639,831 : x
  2. Step 2: Convert to fraction form
    414,344/639,831 = 639,831/x
  3. Step 3: Cross multiply
    414,344x = 639,831 × 639,831
  4. Step 4: Simplify right side
    414,344x = 409,383,708,561
  5. Step 5: Solve for x
    x = 409,383,708,561/414,344
  6. Step 6: Final answer
    x = 988,028.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.