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Finding the Third Proportional to 218.75 and 300.88

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Solution

The third proportional to 218.75 and 300.88 is: 413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.75 : 300.88 = 300.88 : x
  2. Step 2: Convert to fraction form
    218.75/300.88 = 300.88/x
  3. Step 3: Cross multiply
    218.75x = 300.88 × 300.88
  4. Step 4: Simplify right side
    218.75x = 90,525.77
  5. Step 5: Solve for x
    x = 90,525.77/218.75
  6. Step 6: Final answer
    x = 413.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.