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Finding the Third Proportional to 128,916 and 199,205

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Solution

The third proportional to 128,916 and 199,205 is: 307,817.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,916 : 199,205 = 199,205 : x
  2. Step 2: Convert to fraction form
    128,916/199,205 = 199,205/x
  3. Step 3: Cross multiply
    128,916x = 199,205 × 199,205
  4. Step 4: Simplify right side
    128,916x = 39,682,632,025
  5. Step 5: Solve for x
    x = 39,682,632,025/128,916
  6. Step 6: Final answer
    x = 307,817.74

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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.