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Finding the Third Proportional to 300.42 and 396.84

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Solution

The third proportional to 300.42 and 396.84 is: 524.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.42 : 396.84 = 396.84 : x
  2. Step 2: Convert to fraction form
    300.42/396.84 = 396.84/x
  3. Step 3: Cross multiply
    300.42x = 396.84 × 396.84
  4. Step 4: Simplify right side
    300.42x = 157,484.96
  5. Step 5: Solve for x
    x = 157,484.96/300.42
  6. Step 6: Final answer
    x = 524.21

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.