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Finding the Third Proportional to 7,882 and 18,238

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Solution

The third proportional to 7,882 and 18,238 is: 42,200.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882 : 18,238 = 18,238 : x
  2. Step 2: Convert to fraction form
    7,882/18,238 = 18,238/x
  3. Step 3: Cross multiply
    7,882x = 18,238 × 18,238
  4. Step 4: Simplify right side
    7,882x = 332,624,644
  5. Step 5: Solve for x
    x = 332,624,644/7,882
  6. Step 6: Final answer
    x = 42,200.54

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.