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Finding the Third Proportional to 81,470.25 and 170,381.25

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Solution

The third proportional to 81,470.25 and 170,381.25 is: 356,323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,470.25 : 170,381.25 = 170,381.25 : x
  2. Step 2: Convert to fraction form
    81,470.25/170,381.25 = 170,381.25/x
  3. Step 3: Cross multiply
    81,470.25x = 170,381.25 × 170,381.25
  4. Step 4: Simplify right side
    81,470.25x = 29,029,770,351.56
  5. Step 5: Solve for x
    x = 29,029,770,351.56/81,470.25
  6. Step 6: Final answer
    x = 356,323.57

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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.