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Finding the Third Proportional to 99,039 and 206,286

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Solution

The third proportional to 99,039 and 206,286 is: 429,668.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,039 : 206,286 = 206,286 : x
  2. Step 2: Convert to fraction form
    99,039/206,286 = 206,286/x
  3. Step 3: Cross multiply
    99,039x = 206,286 × 206,286
  4. Step 4: Simplify right side
    99,039x = 42,553,913,796
  5. Step 5: Solve for x
    x = 42,553,913,796/99,039
  6. Step 6: Final answer
    x = 429,668.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.