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Finding the Third Proportional to 203,831 and 432,327

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Solution

The third proportional to 203,831 and 432,327 is: 916,968.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,831 : 432,327 = 432,327 : x
  2. Step 2: Convert to fraction form
    203,831/432,327 = 432,327/x
  3. Step 3: Cross multiply
    203,831x = 432,327 × 432,327
  4. Step 4: Simplify right side
    203,831x = 186,906,634,929
  5. Step 5: Solve for x
    x = 186,906,634,929/203,831
  6. Step 6: Final answer
    x = 916,968.64

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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.