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Finding the Third Proportional to 100,341 and 133,836.75

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Solution

The third proportional to 100,341 and 133,836.75 is: 178,514.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,341 : 133,836.75 = 133,836.75 : x
  2. Step 2: Convert to fraction form
    100,341/133,836.75 = 133,836.75/x
  3. Step 3: Cross multiply
    100,341x = 133,836.75 × 133,836.75
  4. Step 4: Simplify right side
    100,341x = 17,912,275,650.56
  5. Step 5: Solve for x
    x = 17,912,275,650.56/100,341
  6. Step 6: Final answer
    x = 178,514.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.