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Finding the Third Proportional to 447.19 and 621.42

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Solution

The third proportional to 447.19 and 621.42 is: 863.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.19 : 621.42 = 621.42 : x
  2. Step 2: Convert to fraction form
    447.19/621.42 = 621.42/x
  3. Step 3: Cross multiply
    447.19x = 621.42 × 621.42
  4. Step 4: Simplify right side
    447.19x = 386,165.15
  5. Step 5: Solve for x
    x = 386,165.15/447.19
  6. Step 6: Final answer
    x = 863.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.