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Finding the Third Proportional to 128.34 and 203.77

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Solution

The third proportional to 128.34 and 203.77 is: 323.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.34 : 203.77 = 203.77 : x
  2. Step 2: Convert to fraction form
    128.34/203.77 = 203.77/x
  3. Step 3: Cross multiply
    128.34x = 203.77 × 203.77
  4. Step 4: Simplify right side
    128.34x = 41,520.43
  5. Step 5: Solve for x
    x = 41,520.43/128.34
  6. Step 6: Final answer
    x = 323.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.