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Finding the Third Proportional to 81,758 and 175,990

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Solution

The third proportional to 81,758 and 175,990 is: 378,831.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,758 : 175,990 = 175,990 : x
  2. Step 2: Convert to fraction form
    81,758/175,990 = 175,990/x
  3. Step 3: Cross multiply
    81,758x = 175,990 × 175,990
  4. Step 4: Simplify right side
    81,758x = 30,972,480,100
  5. Step 5: Solve for x
    x = 30,972,480,100/81,758
  6. Step 6: Final answer
    x = 378,831.19

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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.