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Finding the Third Proportional to 377.81 and 412.69

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Solution

The third proportional to 377.81 and 412.69 is: 450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.81 : 412.69 = 412.69 : x
  2. Step 2: Convert to fraction form
    377.81/412.69 = 412.69/x
  3. Step 3: Cross multiply
    377.81x = 412.69 × 412.69
  4. Step 4: Simplify right side
    377.81x = 170,310.97
  5. Step 5: Solve for x
    x = 170,310.97/377.81
  6. Step 6: Final answer
    x = 450.78

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.