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Finding the Third Proportional to 138,591 and 198,186.75

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Solution

The third proportional to 138,591 and 198,186.75 is: 283,409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,591 : 198,186.75 = 198,186.75 : x
  2. Step 2: Convert to fraction form
    138,591/198,186.75 = 198,186.75/x
  3. Step 3: Cross multiply
    138,591x = 198,186.75 × 198,186.75
  4. Step 4: Simplify right side
    138,591x = 39,277,987,875.56
  5. Step 5: Solve for x
    x = 39,277,987,875.56/138,591
  6. Step 6: Final answer
    x = 283,409.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.