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Finding the Third Proportional to 122.45 and 222.83

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Solution

The third proportional to 122.45 and 222.83 is: 405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.45 : 222.83 = 222.83 : x
  2. Step 2: Convert to fraction form
    122.45/222.83 = 222.83/x
  3. Step 3: Cross multiply
    122.45x = 222.83 × 222.83
  4. Step 4: Simplify right side
    122.45x = 49,652.81
  5. Step 5: Solve for x
    x = 49,652.81/122.45
  6. Step 6: Final answer
    x = 405.50

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.