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Finding the Third Proportional to 203,612 and 317,051

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Solution

The third proportional to 203,612 and 317,051 is: 493,690.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,612 : 317,051 = 317,051 : x
  2. Step 2: Convert to fraction form
    203,612/317,051 = 317,051/x
  3. Step 3: Cross multiply
    203,612x = 317,051 × 317,051
  4. Step 4: Simplify right side
    203,612x = 100,521,336,601
  5. Step 5: Solve for x
    x = 100,521,336,601/203,612
  6. Step 6: Final answer
    x = 493,690.63

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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.