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Finding the Third Proportional to 7,176 and 11,876

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Solution

The third proportional to 7,176 and 11,876 is: 19,654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176 : 11,876 = 11,876 : x
  2. Step 2: Convert to fraction form
    7,176/11,876 = 11,876/x
  3. Step 3: Cross multiply
    7,176x = 11,876 × 11,876
  4. Step 4: Simplify right side
    7,176x = 141,039,376
  5. Step 5: Solve for x
    x = 141,039,376/7,176
  6. Step 6: Final answer
    x = 19,654.32

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.