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Finding the Third Proportional to 90,198.75 and 140,208.75

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Solution

The third proportional to 90,198.75 and 140,208.75 is: 217,946.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,198.75 : 140,208.75 = 140,208.75 : x
  2. Step 2: Convert to fraction form
    90,198.75/140,208.75 = 140,208.75/x
  3. Step 3: Cross multiply
    90,198.75x = 140,208.75 × 140,208.75
  4. Step 4: Simplify right side
    90,198.75x = 19,658,493,576.56
  5. Step 5: Solve for x
    x = 19,658,493,576.56/90,198.75
  6. Step 6: Final answer
    x = 217,946.41

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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.