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Finding the Third Proportional to 87,907.50 and 193,743

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Solution

The third proportional to 87,907.50 and 193,743 is: 426,998.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,907.50 : 193,743 = 193,743 : x
  2. Step 2: Convert to fraction form
    87,907.50/193,743 = 193,743/x
  3. Step 3: Cross multiply
    87,907.50x = 193,743 × 193,743
  4. Step 4: Simplify right side
    87,907.50x = 37,536,350,049
  5. Step 5: Solve for x
    x = 37,536,350,049/87,907.50
  6. Step 6: Final answer
    x = 426,998.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.