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Finding the Third Proportional to 5,215 and 6,891

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Solution

The third proportional to 5,215 and 6,891 is: 9,105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215 : 6,891 = 6,891 : x
  2. Step 2: Convert to fraction form
    5,215/6,891 = 6,891/x
  3. Step 3: Cross multiply
    5,215x = 6,891 × 6,891
  4. Step 4: Simplify right side
    5,215x = 47,485,881
  5. Step 5: Solve for x
    x = 47,485,881/5,215
  6. Step 6: Final answer
    x = 9,105.63

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.