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Finding the Third Proportional to 3,112.88 and 3,786.19

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Solution

The third proportional to 3,112.88 and 3,786.19 is: 4,605.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.88 : 3,786.19 = 3,786.19 : x
  2. Step 2: Convert to fraction form
    3,112.88/3,786.19 = 3,786.19/x
  3. Step 3: Cross multiply
    3,112.88x = 3,786.19 × 3,786.19
  4. Step 4: Simplify right side
    3,112.88x = 14,335,215.79
  5. Step 5: Solve for x
    x = 14,335,215.79/3,112.88
  6. Step 6: Final answer
    x = 4,605.14

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.