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Finding the Third Proportional to 7,686 and 11,582

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Solution

The third proportional to 7,686 and 11,582 is: 17,452.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686 : 11,582 = 11,582 : x
  2. Step 2: Convert to fraction form
    7,686/11,582 = 11,582/x
  3. Step 3: Cross multiply
    7,686x = 11,582 × 11,582
  4. Step 4: Simplify right side
    7,686x = 134,142,724
  5. Step 5: Solve for x
    x = 134,142,724/7,686
  6. Step 6: Final answer
    x = 17,452.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.