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Finding the Third Proportional to 7,872 and 12,154

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Solution

The third proportional to 7,872 and 12,154 is: 18,765.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872 : 12,154 = 12,154 : x
  2. Step 2: Convert to fraction form
    7,872/12,154 = 12,154/x
  3. Step 3: Cross multiply
    7,872x = 12,154 × 12,154
  4. Step 4: Simplify right side
    7,872x = 147,719,716
  5. Step 5: Solve for x
    x = 147,719,716/7,872
  6. Step 6: Final answer
    x = 18,765.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.