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Finding the Third Proportional to 408.13 and 866.69

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Solution

The third proportional to 408.13 and 866.69 is: 1,840.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.13 : 866.69 = 866.69 : x
  2. Step 2: Convert to fraction form
    408.13/866.69 = 866.69/x
  3. Step 3: Cross multiply
    408.13x = 866.69 × 866.69
  4. Step 4: Simplify right side
    408.13x = 751,147.22
  5. Step 5: Solve for x
    x = 751,147.22/408.13
  6. Step 6: Final answer
    x = 1,840.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.