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Finding the Third Proportional to 408.80 and 937.51

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Solution

The third proportional to 408.80 and 937.51 is: 2,150.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.80 : 937.51 = 937.51 : x
  2. Step 2: Convert to fraction form
    408.80/937.51 = 937.51/x
  3. Step 3: Cross multiply
    408.80x = 937.51 × 937.51
  4. Step 4: Simplify right side
    408.80x = 878,928.22
  5. Step 5: Solve for x
    x = 878,928.22/408.80
  6. Step 6: Final answer
    x = 2,150.04

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.