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Finding the Third Proportional to 208,855 and 336,286

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Solution

The third proportional to 208,855 and 336,286 is: 541,467.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,855 : 336,286 = 336,286 : x
  2. Step 2: Convert to fraction form
    208,855/336,286 = 336,286/x
  3. Step 3: Cross multiply
    208,855x = 336,286 × 336,286
  4. Step 4: Simplify right side
    208,855x = 113,088,273,796
  5. Step 5: Solve for x
    x = 113,088,273,796/208,855
  6. Step 6: Final answer
    x = 541,467.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.