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Finding the Third Proportional to 128,197.69 and 199,017

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Solution

The third proportional to 128,197.69 and 199,017 is: 308,958.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,197.69 : 199,017 = 199,017 : x
  2. Step 2: Convert to fraction form
    128,197.69/199,017 = 199,017/x
  3. Step 3: Cross multiply
    128,197.69x = 199,017 × 199,017
  4. Step 4: Simplify right side
    128,197.69x = 39,607,766,289
  5. Step 5: Solve for x
    x = 39,607,766,289/128,197.69
  6. Step 6: Final answer
    x = 308,958.51

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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.