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Finding the Third Proportional to 200,908 and 311,286

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Solution

The third proportional to 200,908 and 311,286 is: 482,305.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,908 : 311,286 = 311,286 : x
  2. Step 2: Convert to fraction form
    200,908/311,286 = 311,286/x
  3. Step 3: Cross multiply
    200,908x = 311,286 × 311,286
  4. Step 4: Simplify right side
    200,908x = 96,898,973,796
  5. Step 5: Solve for x
    x = 96,898,973,796/200,908
  6. Step 6: Final answer
    x = 482,305.20

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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.