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Finding the Third Proportional to 81,228 and 125,529.75

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Solution

The third proportional to 81,228 and 125,529.75 is: 193,993.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,228 : 125,529.75 = 125,529.75 : x
  2. Step 2: Convert to fraction form
    81,228/125,529.75 = 125,529.75/x
  3. Step 3: Cross multiply
    81,228x = 125,529.75 × 125,529.75
  4. Step 4: Simplify right side
    81,228x = 15,757,718,135.06
  5. Step 5: Solve for x
    x = 15,757,718,135.06/81,228
  6. Step 6: Final answer
    x = 193,993.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.