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Finding the Third Proportional to 203,049 and 315,648

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Solution

The third proportional to 203,049 and 315,648 is: 490,687.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,049 : 315,648 = 315,648 : x
  2. Step 2: Convert to fraction form
    203,049/315,648 = 315,648/x
  3. Step 3: Cross multiply
    203,049x = 315,648 × 315,648
  4. Step 4: Simplify right side
    203,049x = 99,633,659,904
  5. Step 5: Solve for x
    x = 99,633,659,904/203,049
  6. Step 6: Final answer
    x = 490,687.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.