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Finding the Third Proportional to 408.38 and 893.81

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Solution

The third proportional to 408.38 and 893.81 is: 1,956.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.38 : 893.81 = 893.81 : x
  2. Step 2: Convert to fraction form
    408.38/893.81 = 893.81/x
  3. Step 3: Cross multiply
    408.38x = 893.81 × 893.81
  4. Step 4: Simplify right side
    408.38x = 798,900.79
  5. Step 5: Solve for x
    x = 798,900.79/408.38
  6. Step 6: Final answer
    x = 1,956.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.