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Finding the Third Proportional to 406.22 and 620.86

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Solution

The third proportional to 406.22 and 620.86 is: 948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.22 : 620.86 = 620.86 : x
  2. Step 2: Convert to fraction form
    406.22/620.86 = 620.86/x
  3. Step 3: Cross multiply
    406.22x = 620.86 × 620.86
  4. Step 4: Simplify right side
    406.22x = 385,466.36
  5. Step 5: Solve for x
    x = 385,466.36/406.22
  6. Step 6: Final answer
    x = 948.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.