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Finding the Third Proportional to 122,800 and 190,195

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Solution

The third proportional to 122,800 and 190,195 is: 294,577.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,800 : 190,195 = 190,195 : x
  2. Step 2: Convert to fraction form
    122,800/190,195 = 190,195/x
  3. Step 3: Cross multiply
    122,800x = 190,195 × 190,195
  4. Step 4: Simplify right side
    122,800x = 36,174,138,025
  5. Step 5: Solve for x
    x = 36,174,138,025/122,800
  6. Step 6: Final answer
    x = 294,577.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.