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Finding the Third Proportional to 128,303 and 199,149

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Solution

The third proportional to 128,303 and 199,149 is: 309,114.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,303 : 199,149 = 199,149 : x
  2. Step 2: Convert to fraction form
    128,303/199,149 = 199,149/x
  3. Step 3: Cross multiply
    128,303x = 199,149 × 199,149
  4. Step 4: Simplify right side
    128,303x = 39,660,324,201
  5. Step 5: Solve for x
    x = 39,660,324,201/128,303
  6. Step 6: Final answer
    x = 309,114.55

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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.