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Finding the Third Proportional to 286.80 and 550.83

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Solution

The third proportional to 286.80 and 550.83 is: 1,057.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.80 : 550.83 = 550.83 : x
  2. Step 2: Convert to fraction form
    286.80/550.83 = 550.83/x
  3. Step 3: Cross multiply
    286.80x = 550.83 × 550.83
  4. Step 4: Simplify right side
    286.80x = 303,411.62
  5. Step 5: Solve for x
    x = 303,411.62/286.80
  6. Step 6: Final answer
    x = 1,057.90

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.