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Finding the Third Proportional to 133,800 and 206,696

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Solution

The third proportional to 133,800 and 206,696 is: 319,306.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,800 : 206,696 = 206,696 : x
  2. Step 2: Convert to fraction form
    133,800/206,696 = 206,696/x
  3. Step 3: Cross multiply
    133,800x = 206,696 × 206,696
  4. Step 4: Simplify right side
    133,800x = 42,723,236,416
  5. Step 5: Solve for x
    x = 42,723,236,416/133,800
  6. Step 6: Final answer
    x = 319,306.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.