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Finding the Third Proportional to 686 and 876

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Solution

The third proportional to 686 and 876 is: 1,118.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    686 : 876 = 876 : x
  2. Step 2: Convert to fraction form
    686/876 = 876/x
  3. Step 3: Cross multiply
    686x = 876 × 876
  4. Step 4: Simplify right side
    686x = 767,376
  5. Step 5: Solve for x
    x = 767,376/686
  6. Step 6: Final answer
    x = 1,118.62

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.