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Finding the Third Proportional to 128,190.94 and 199,006.88

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Solution

The third proportional to 128,190.94 and 199,006.88 is: 308,943.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,190.94 : 199,006.88 = 199,006.88 : x
  2. Step 2: Convert to fraction form
    128,190.94/199,006.88 = 199,006.88/x
  3. Step 3: Cross multiply
    128,190.94x = 199,006.88 × 199,006.88
  4. Step 4: Simplify right side
    128,190.94x = 39,603,736,297.27
  5. Step 5: Solve for x
    x = 39,603,736,297.27/128,190.94
  6. Step 6: Final answer
    x = 308,943.34

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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.