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Finding the Third Proportional to 222 and 413.25

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Solution

The third proportional to 222 and 413.25 is: 769.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    222 : 413.25 = 413.25 : x
  2. Step 2: Convert to fraction form
    222/413.25 = 413.25/x
  3. Step 3: Cross multiply
    222x = 413.25 × 413.25
  4. Step 4: Simplify right side
    222x = 170,775.56
  5. Step 5: Solve for x
    x = 170,775.56/222
  6. Step 6: Final answer
    x = 769.26

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.