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Finding the Third Proportional to 122,025 and 223,800

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Solution

The third proportional to 122,025 and 223,800 is: 410,460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,025 : 223,800 = 223,800 : x
  2. Step 2: Convert to fraction form
    122,025/223,800 = 223,800/x
  3. Step 3: Cross multiply
    122,025x = 223,800 × 223,800
  4. Step 4: Simplify right side
    122,025x = 50,086,440,000
  5. Step 5: Solve for x
    x = 50,086,440,000/122,025
  6. Step 6: Final answer
    x = 410,460.48

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.