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Finding the Third Proportional to 100,331.25 and 155,286.75

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Solution

The third proportional to 100,331.25 and 155,286.75 is: 240,343.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,331.25 : 155,286.75 = 155,286.75 : x
  2. Step 2: Convert to fraction form
    100,331.25/155,286.75 = 155,286.75/x
  3. Step 3: Cross multiply
    100,331.25x = 155,286.75 × 155,286.75
  4. Step 4: Simplify right side
    100,331.25x = 24,113,974,725.56
  5. Step 5: Solve for x
    x = 24,113,974,725.56/100,331.25
  6. Step 6: Final answer
    x = 240,343.61

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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.