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Finding the Third Proportional to 621.97 and 1,311.42

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Solution

The third proportional to 621.97 and 1,311.42 is: 2,765.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.97 : 1,311.42 = 1,311.42 : x
  2. Step 2: Convert to fraction form
    621.97/1,311.42 = 1,311.42/x
  3. Step 3: Cross multiply
    621.97x = 1,311.42 × 1,311.42
  4. Step 4: Simplify right side
    621.97x = 1,719,827.33
  5. Step 5: Solve for x
    x = 1,719,827.33/621.97
  6. Step 6: Final answer
    x = 2,765.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.