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Finding the Third Proportional to 991.93 and 2,179.72

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Solution

The third proportional to 991.93 and 2,179.72 is: 4,789.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.93 : 2,179.72 = 2,179.72 : x
  2. Step 2: Convert to fraction form
    991.93/2,179.72 = 2,179.72/x
  3. Step 3: Cross multiply
    991.93x = 2,179.72 × 2,179.72
  4. Step 4: Simplify right side
    991.93x = 4,751,190.86
  5. Step 5: Solve for x
    x = 4,751,190.86/991.93
  6. Step 6: Final answer
    x = 4,789.83

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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.