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Finding the Third Proportional to 291.38 and 408.69

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Solution

The third proportional to 291.38 and 408.69 is: 573.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.38 : 408.69 = 408.69 : x
  2. Step 2: Convert to fraction form
    291.38/408.69 = 408.69/x
  3. Step 3: Cross multiply
    291.38x = 408.69 × 408.69
  4. Step 4: Simplify right side
    291.38x = 167,025.47
  5. Step 5: Solve for x
    x = 167,025.47/291.38
  6. Step 6: Final answer
    x = 573.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.