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Finding the Third Proportional to 403.80 and 620.86

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Solution

The third proportional to 403.80 and 620.86 is: 954.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.80 : 620.86 = 620.86 : x
  2. Step 2: Convert to fraction form
    403.80/620.86 = 620.86/x
  3. Step 3: Cross multiply
    403.80x = 620.86 × 620.86
  4. Step 4: Simplify right side
    403.80x = 385,466.36
  5. Step 5: Solve for x
    x = 385,466.36/403.80
  6. Step 6: Final answer
    x = 954.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.