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Finding the Third Proportional to 81,789.75 and 170,991

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Solution

The third proportional to 81,789.75 and 170,991 is: 357,476.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,789.75 : 170,991 = 170,991 : x
  2. Step 2: Convert to fraction form
    81,789.75/170,991 = 170,991/x
  3. Step 3: Cross multiply
    81,789.75x = 170,991 × 170,991
  4. Step 4: Simplify right side
    81,789.75x = 29,237,922,081
  5. Step 5: Solve for x
    x = 29,237,922,081/81,789.75
  6. Step 6: Final answer
    x = 357,476.60

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.