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Finding the Third Proportional to 413.22 and 860.69

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Solution

The third proportional to 413.22 and 860.69 is: 1,792.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.22 : 860.69 = 860.69 : x
  2. Step 2: Convert to fraction form
    413.22/860.69 = 860.69/x
  3. Step 3: Cross multiply
    413.22x = 860.69 × 860.69
  4. Step 4: Simplify right side
    413.22x = 740,782.97
  5. Step 5: Solve for x
    x = 740,782.97/413.22
  6. Step 6: Final answer
    x = 1,792.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.