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Finding the Third Proportional to 47,928.75 and 100,815

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Solution

The third proportional to 47,928.75 and 100,815 is: 212,057.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,928.75 : 100,815 = 100,815 : x
  2. Step 2: Convert to fraction form
    47,928.75/100,815 = 100,815/x
  3. Step 3: Cross multiply
    47,928.75x = 100,815 × 100,815
  4. Step 4: Simplify right side
    47,928.75x = 10,163,664,225
  5. Step 5: Solve for x
    x = 10,163,664,225/47,928.75
  6. Step 6: Final answer
    x = 212,057.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.