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Finding the Third Proportional to 133,366 and 206,368

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Solution

The third proportional to 133,366 and 206,368 is: 319,329.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,366 : 206,368 = 206,368 : x
  2. Step 2: Convert to fraction form
    133,366/206,368 = 206,368/x
  3. Step 3: Cross multiply
    133,366x = 206,368 × 206,368
  4. Step 4: Simplify right side
    133,366x = 42,587,751,424
  5. Step 5: Solve for x
    x = 42,587,751,424/133,366
  6. Step 6: Final answer
    x = 319,329.90

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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.