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Finding the Third Proportional to 81,198.75 and 127,554.75

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Solution

The third proportional to 81,198.75 and 127,554.75 is: 200,375.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,198.75 : 127,554.75 = 127,554.75 : x
  2. Step 2: Convert to fraction form
    81,198.75/127,554.75 = 127,554.75/x
  3. Step 3: Cross multiply
    81,198.75x = 127,554.75 × 127,554.75
  4. Step 4: Simplify right side
    81,198.75x = 16,270,214,247.56
  5. Step 5: Solve for x
    x = 16,270,214,247.56/81,198.75
  6. Step 6: Final answer
    x = 200,375.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.