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Finding the Third Proportional to 618.97 and 1,321.44

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Solution

The third proportional to 618.97 and 1,321.44 is: 2,821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.97 : 1,321.44 = 1,321.44 : x
  2. Step 2: Convert to fraction form
    618.97/1,321.44 = 1,321.44/x
  3. Step 3: Cross multiply
    618.97x = 1,321.44 × 1,321.44
  4. Step 4: Simplify right side
    618.97x = 1,746,197.07
  5. Step 5: Solve for x
    x = 1,746,197.07/618.97
  6. Step 6: Final answer
    x = 2,821.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.