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Finding the Third Proportional to 2,231.88 and 4,261.19

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Solution

The third proportional to 2,231.88 and 4,261.19 is: 8,135.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.88 : 4,261.19 = 4,261.19 : x
  2. Step 2: Convert to fraction form
    2,231.88/4,261.19 = 4,261.19/x
  3. Step 3: Cross multiply
    2,231.88x = 4,261.19 × 4,261.19
  4. Step 4: Simplify right side
    2,231.88x = 18,157,718.91
  5. Step 5: Solve for x
    x = 18,157,718.91/2,231.88
  6. Step 6: Final answer
    x = 8,135.63

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.