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Finding the Third Proportional to 7,872 and 13,212

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Solution

The third proportional to 7,872 and 13,212 is: 22,174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872 : 13,212 = 13,212 : x
  2. Step 2: Convert to fraction form
    7,872/13,212 = 13,212/x
  3. Step 3: Cross multiply
    7,872x = 13,212 × 13,212
  4. Step 4: Simplify right side
    7,872x = 174,556,944
  5. Step 5: Solve for x
    x = 174,556,944/7,872
  6. Step 6: Final answer
    x = 22,174.41

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.