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Finding the Third Proportional to 5,218 and 6,899

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Solution

The third proportional to 5,218 and 6,899 is: 9,121.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218 : 6,899 = 6,899 : x
  2. Step 2: Convert to fraction form
    5,218/6,899 = 6,899/x
  3. Step 3: Cross multiply
    5,218x = 6,899 × 6,899
  4. Step 4: Simplify right side
    5,218x = 47,596,201
  5. Step 5: Solve for x
    x = 47,596,201/5,218
  6. Step 6: Final answer
    x = 9,121.54

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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.