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Finding the Third Proportional to 286.03 and 550.69

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Solution

The third proportional to 286.03 and 550.69 is: 1,060.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.03 : 550.69 = 550.69 : x
  2. Step 2: Convert to fraction form
    286.03/550.69 = 550.69/x
  3. Step 3: Cross multiply
    286.03x = 550.69 × 550.69
  4. Step 4: Simplify right side
    286.03x = 303,256.72
  5. Step 5: Solve for x
    x = 303,256.72/286.03
  6. Step 6: Final answer
    x = 1,060.22

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.