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Finding the Third Proportional to 81,704.25 and 175,920.75

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Solution

The third proportional to 81,704.25 and 175,920.75 is: 378,782.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,704.25 : 175,920.75 = 175,920.75 : x
  2. Step 2: Convert to fraction form
    81,704.25/175,920.75 = 175,920.75/x
  3. Step 3: Cross multiply
    81,704.25x = 175,920.75 × 175,920.75
  4. Step 4: Simplify right side
    81,704.25x = 30,948,110,280.56
  5. Step 5: Solve for x
    x = 30,948,110,280.56/81,704.25
  6. Step 6: Final answer
    x = 378,782.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.