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Finding the Third Proportional to 128.88 and 192.63

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Solution

The third proportional to 128.88 and 192.63 is: 287.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.88 : 192.63 = 192.63 : x
  2. Step 2: Convert to fraction form
    128.88/192.63 = 192.63/x
  3. Step 3: Cross multiply
    128.88x = 192.63 × 192.63
  4. Step 4: Simplify right side
    128.88x = 37,104.39
  5. Step 5: Solve for x
    x = 37,104.39/128.88
  6. Step 6: Final answer
    x = 287.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.