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Finding the Third Proportional to 47,880 and 102,868

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Solution

The third proportional to 47,880 and 102,868 is: 221,007.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,880 : 102,868 = 102,868 : x
  2. Step 2: Convert to fraction form
    47,880/102,868 = 102,868/x
  3. Step 3: Cross multiply
    47,880x = 102,868 × 102,868
  4. Step 4: Simplify right side
    47,880x = 10,581,825,424
  5. Step 5: Solve for x
    x = 10,581,825,424/47,880
  6. Step 6: Final answer
    x = 221,007.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.