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Finding the Third Proportional to 991.22 and 2,158.97

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Solution

The third proportional to 991.22 and 2,158.97 is: 4,702.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.22 : 2,158.97 = 2,158.97 : x
  2. Step 2: Convert to fraction form
    991.22/2,158.97 = 2,158.97/x
  3. Step 3: Cross multiply
    991.22x = 2,158.97 × 2,158.97
  4. Step 4: Simplify right side
    991.22x = 4,661,146.06
  5. Step 5: Solve for x
    x = 4,661,146.06/991.22
  6. Step 6: Final answer
    x = 4,702.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.