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Finding the Third Proportional to 2,786.91 and 3,838.64

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Solution

The third proportional to 2,786.91 and 3,838.64 is: 5,287.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.91 : 3,838.64 = 3,838.64 : x
  2. Step 2: Convert to fraction form
    2,786.91/3,838.64 = 3,838.64/x
  3. Step 3: Cross multiply
    2,786.91x = 3,838.64 × 3,838.64
  4. Step 4: Simplify right side
    2,786.91x = 14,735,161.85
  5. Step 5: Solve for x
    x = 14,735,161.85/2,786.91
  6. Step 6: Final answer
    x = 5,287.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.