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Finding the Third Proportional to 1,992.75 and 4,387.88

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Solution

The third proportional to 1,992.75 and 4,387.88 is: 9,661.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.75 : 4,387.88 = 4,387.88 : x
  2. Step 2: Convert to fraction form
    1,992.75/4,387.88 = 4,387.88/x
  3. Step 3: Cross multiply
    1,992.75x = 4,387.88 × 4,387.88
  4. Step 4: Simplify right side
    1,992.75x = 19,253,447.02
  5. Step 5: Solve for x
    x = 19,253,447.02/1,992.75
  6. Step 6: Final answer
    x = 9,661.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.