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Finding the Third Proportional to 166,885 and 258,246.75

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Solution

The third proportional to 166,885 and 258,246.75 is: 399,624.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,885 : 258,246.75 = 258,246.75 : x
  2. Step 2: Convert to fraction form
    166,885/258,246.75 = 258,246.75/x
  3. Step 3: Cross multiply
    166,885x = 258,246.75 × 258,246.75
  4. Step 4: Simplify right side
    166,885x = 66,691,383,885.56
  5. Step 5: Solve for x
    x = 66,691,383,885.56/166,885
  6. Step 6: Final answer
    x = 399,624.79

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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.