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Finding the Third Proportional to 822.97 and 1,198.86

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Solution

The third proportional to 822.97 and 1,198.86 is: 1,746.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.97 : 1,198.86 = 1,198.86 : x
  2. Step 2: Convert to fraction form
    822.97/1,198.86 = 1,198.86/x
  3. Step 3: Cross multiply
    822.97x = 1,198.86 × 1,198.86
  4. Step 4: Simplify right side
    822.97x = 1,437,273.17
  5. Step 5: Solve for x
    x = 1,437,273.17/822.97
  6. Step 6: Final answer
    x = 1,746.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.