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Finding the Third Proportional to 128,211 and 199,035

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Solution

The third proportional to 128,211 and 199,035 is: 308,982.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,211 : 199,035 = 199,035 : x
  2. Step 2: Convert to fraction form
    128,211/199,035 = 199,035/x
  3. Step 3: Cross multiply
    128,211x = 199,035 × 199,035
  4. Step 4: Simplify right side
    128,211x = 39,614,931,225
  5. Step 5: Solve for x
    x = 39,614,931,225/128,211
  6. Step 6: Final answer
    x = 308,982.31

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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.