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Finding the Third Proportional to 5,115 and 5,529

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Solution

The third proportional to 5,115 and 5,529 is: 5,976.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115 : 5,529 = 5,529 : x
  2. Step 2: Convert to fraction form
    5,115/5,529 = 5,529/x
  3. Step 3: Cross multiply
    5,115x = 5,529 × 5,529
  4. Step 4: Simplify right side
    5,115x = 30,569,841
  5. Step 5: Solve for x
    x = 30,569,841/5,115
  6. Step 6: Final answer
    x = 5,976.51

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.