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Finding the Third Proportional to 128,185.88 and 198,998.44

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Solution

The third proportional to 128,185.88 and 198,998.44 is: 308,929.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,185.88 : 198,998.44 = 198,998.44 : x
  2. Step 2: Convert to fraction form
    128,185.88/198,998.44 = 198,998.44/x
  3. Step 3: Cross multiply
    128,185.88x = 198,998.44 × 198,998.44
  4. Step 4: Simplify right side
    128,185.88x = 39,600,378,127.44
  5. Step 5: Solve for x
    x = 39,600,378,127.44/128,185.88
  6. Step 6: Final answer
    x = 308,929.34

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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.