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Finding the Third Proportional to 1,991.25 and 4,093.88

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Solution

The third proportional to 1,991.25 and 4,093.88 is: 8,416.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.25 : 4,093.88 = 4,093.88 : x
  2. Step 2: Convert to fraction form
    1,991.25/4,093.88 = 4,093.88/x
  3. Step 3: Cross multiply
    1,991.25x = 4,093.88 × 4,093.88
  4. Step 4: Simplify right side
    1,991.25x = 16,759,812.52
  5. Step 5: Solve for x
    x = 16,759,812.52/1,991.25
  6. Step 6: Final answer
    x = 8,416.73

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.