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Finding the Third Proportional to 308.15 and 451.41

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Solution

The third proportional to 308.15 and 451.41 is: 661.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.15 : 451.41 = 451.41 : x
  2. Step 2: Convert to fraction form
    308.15/451.41 = 451.41/x
  3. Step 3: Cross multiply
    308.15x = 451.41 × 451.41
  4. Step 4: Simplify right side
    308.15x = 203,770.21
  5. Step 5: Solve for x
    x = 203,770.21/308.15
  6. Step 6: Final answer
    x = 661.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.