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Finding the Third Proportional to 128,104 and 204,647

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Solution

The third proportional to 128,104 and 204,647 is: 326,924.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,104 : 204,647 = 204,647 : x
  2. Step 2: Convert to fraction form
    128,104/204,647 = 204,647/x
  3. Step 3: Cross multiply
    128,104x = 204,647 × 204,647
  4. Step 4: Simplify right side
    128,104x = 41,880,394,609
  5. Step 5: Solve for x
    x = 41,880,394,609/128,104
  6. Step 6: Final answer
    x = 326,924.96

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.