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Finding the Third Proportional to 7,872 and 12,684

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Solution

The third proportional to 7,872 and 12,684 is: 20,437.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872 : 12,684 = 12,684 : x
  2. Step 2: Convert to fraction form
    7,872/12,684 = 12,684/x
  3. Step 3: Cross multiply
    7,872x = 12,684 × 12,684
  4. Step 4: Simplify right side
    7,872x = 160,883,856
  5. Step 5: Solve for x
    x = 160,883,856/7,872
  6. Step 6: Final answer
    x = 20,437.48

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.