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Finding the Third Proportional to 3,151.88 and 5,234.81

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Solution

The third proportional to 3,151.88 and 5,234.81 is: 8,694.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.88 : 5,234.81 = 5,234.81 : x
  2. Step 2: Convert to fraction form
    3,151.88/5,234.81 = 5,234.81/x
  3. Step 3: Cross multiply
    3,151.88x = 5,234.81 × 5,234.81
  4. Step 4: Simplify right side
    3,151.88x = 27,403,261.91
  5. Step 5: Solve for x
    x = 27,403,261.91/3,151.88
  6. Step 6: Final answer
    x = 8,694.27

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.