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Finding the Third Proportional to 2,688.19 and 5,786.44

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Solution

The third proportional to 2,688.19 and 5,786.44 is: 12,455.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.19 : 5,786.44 = 5,786.44 : x
  2. Step 2: Convert to fraction form
    2,688.19/5,786.44 = 5,786.44/x
  3. Step 3: Cross multiply
    2,688.19x = 5,786.44 × 5,786.44
  4. Step 4: Simplify right side
    2,688.19x = 33,482,858.94
  5. Step 5: Solve for x
    x = 33,482,858.94/2,688.19
  6. Step 6: Final answer
    x = 12,455.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.