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Finding the Third Proportional to 226.83 and 483.98

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Solution

The third proportional to 226.83 and 483.98 is: 1,032.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.83 : 483.98 = 483.98 : x
  2. Step 2: Convert to fraction form
    226.83/483.98 = 483.98/x
  3. Step 3: Cross multiply
    226.83x = 483.98 × 483.98
  4. Step 4: Simplify right side
    226.83x = 234,240.88
  5. Step 5: Solve for x
    x = 234,240.88/226.83
  6. Step 6: Final answer
    x = 1,032.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.