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Finding the Third Proportional to 166,812.75 and 258,489.56

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Solution

The third proportional to 166,812.75 and 258,489.56 is: 400,550.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,812.75 : 258,489.56 = 258,489.56 : x
  2. Step 2: Convert to fraction form
    166,812.75/258,489.56 = 258,489.56/x
  3. Step 3: Cross multiply
    166,812.75x = 258,489.56 × 258,489.56
  4. Step 4: Simplify right side
    166,812.75x = 66,816,853,921.44
  5. Step 5: Solve for x
    x = 66,816,853,921.44/166,812.75
  6. Step 6: Final answer
    x = 400,550.04

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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.