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Finding the Third Proportional to 128,647 and 198,802

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Solution

The third proportional to 128,647 and 198,802 is: 307,214.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,647 : 198,802 = 198,802 : x
  2. Step 2: Convert to fraction form
    128,647/198,802 = 198,802/x
  3. Step 3: Cross multiply
    128,647x = 198,802 × 198,802
  4. Step 4: Simplify right side
    128,647x = 39,522,235,204
  5. Step 5: Solve for x
    x = 39,522,235,204/128,647
  6. Step 6: Final answer
    x = 307,214.59

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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.