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Finding the Third Proportional to 81,789.75 and 166,585.50

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Solution

The third proportional to 81,789.75 and 166,585.50 is: 339,293.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,789.75 : 166,585.50 = 166,585.50 : x
  2. Step 2: Convert to fraction form
    81,789.75/166,585.50 = 166,585.50/x
  3. Step 3: Cross multiply
    81,789.75x = 166,585.50 × 166,585.50
  4. Step 4: Simplify right side
    81,789.75x = 27,750,728,810.25
  5. Step 5: Solve for x
    x = 27,750,728,810.25/81,789.75
  6. Step 6: Final answer
    x = 339,293.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.