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Finding the Third Proportional to 128,790 and 198,993

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Solution

The third proportional to 128,790 and 198,993 is: 307,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,790 : 198,993 = 198,993 : x
  2. Step 2: Convert to fraction form
    128,790/198,993 = 198,993/x
  3. Step 3: Cross multiply
    128,790x = 198,993 × 198,993
  4. Step 4: Simplify right side
    128,790x = 39,598,214,049
  5. Step 5: Solve for x
    x = 39,598,214,049/128,790
  6. Step 6: Final answer
    x = 307,463.42

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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.