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Finding the Third Proportional to 128.57 and 277.91

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Solution

The third proportional to 128.57 and 277.91 is: 600.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.57 : 277.91 = 277.91 : x
  2. Step 2: Convert to fraction form
    128.57/277.91 = 277.91/x
  3. Step 3: Cross multiply
    128.57x = 277.91 × 277.91
  4. Step 4: Simplify right side
    128.57x = 77,234.05
  5. Step 5: Solve for x
    x = 77,234.05/128.57
  6. Step 6: Final answer
    x = 600.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.