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Finding the Third Proportional to 383.06 and 906.61

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Solution

The third proportional to 383.06 and 906.61 is: 2,145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.06 : 906.61 = 906.61 : x
  2. Step 2: Convert to fraction form
    383.06/906.61 = 906.61/x
  3. Step 3: Cross multiply
    383.06x = 906.61 × 906.61
  4. Step 4: Simplify right side
    383.06x = 821,940.56
  5. Step 5: Solve for x
    x = 821,940.56/383.06
  6. Step 6: Final answer
    x = 2,145.71

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.