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Finding the Third Proportional to 203,193 and 316,422

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Solution

The third proportional to 203,193 and 316,422 is: 492,747.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,193 : 316,422 = 316,422 : x
  2. Step 2: Convert to fraction form
    203,193/316,422 = 316,422/x
  3. Step 3: Cross multiply
    203,193x = 316,422 × 316,422
  4. Step 4: Simplify right side
    203,193x = 100,122,882,084
  5. Step 5: Solve for x
    x = 100,122,882,084/203,193
  6. Step 6: Final answer
    x = 492,747.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.