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Finding the Third Proportional to 222.54 and 477.98

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Solution

The third proportional to 222.54 and 477.98 is: 1,026.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.54 : 477.98 = 477.98 : x
  2. Step 2: Convert to fraction form
    222.54/477.98 = 477.98/x
  3. Step 3: Cross multiply
    222.54x = 477.98 × 477.98
  4. Step 4: Simplify right side
    222.54x = 228,469.06
  5. Step 5: Solve for x
    x = 228,469.06/222.54
  6. Step 6: Final answer
    x = 1,026.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.