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Finding the Third Proportional to 100,642.50 and 154,122.75

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Solution

The third proportional to 100,642.50 and 154,122.75 is: 236,021.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,642.50 : 154,122.75 = 154,122.75 : x
  2. Step 2: Convert to fraction form
    100,642.50/154,122.75 = 154,122.75/x
  3. Step 3: Cross multiply
    100,642.50x = 154,122.75 × 154,122.75
  4. Step 4: Simplify right side
    100,642.50x = 23,753,822,067.56
  5. Step 5: Solve for x
    x = 23,753,822,067.56/100,642.50
  6. Step 6: Final answer
    x = 236,021.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.