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Finding the Third Proportional to 128,678 and 195,204

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Solution

The third proportional to 128,678 and 195,204 is: 296,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,678 : 195,204 = 195,204 : x
  2. Step 2: Convert to fraction form
    128,678/195,204 = 195,204/x
  3. Step 3: Cross multiply
    128,678x = 195,204 × 195,204
  4. Step 4: Simplify right side
    128,678x = 38,104,601,616
  5. Step 5: Solve for x
    x = 38,104,601,616/128,678
  6. Step 6: Final answer
    x = 296,123.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.