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Finding the Third Proportional to 2,381.91 and 3,081.80

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Solution

The third proportional to 2,381.91 and 3,081.80 is: 3,987.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.91 : 3,081.80 = 3,081.80 : x
  2. Step 2: Convert to fraction form
    2,381.91/3,081.80 = 3,081.80/x
  3. Step 3: Cross multiply
    2,381.91x = 3,081.80 × 3,081.80
  4. Step 4: Simplify right side
    2,381.91x = 9,497,471.98
  5. Step 5: Solve for x
    x = 9,497,471.98/2,381.91
  6. Step 6: Final answer
    x = 3,987.34

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.