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Finding the Third Proportional to 133,530 and 206,182

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Solution

The third proportional to 133,530 and 206,182 is: 318,363.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,530 : 206,182 = 206,182 : x
  2. Step 2: Convert to fraction form
    133,530/206,182 = 206,182/x
  3. Step 3: Cross multiply
    133,530x = 206,182 × 206,182
  4. Step 4: Simplify right side
    133,530x = 42,511,017,124
  5. Step 5: Solve for x
    x = 42,511,017,124/133,530
  6. Step 6: Final answer
    x = 318,363.04

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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.