Home / 169.97-413.44

Finding the Third Proportional to 169.97 and 413.44

Calculator

Solution

The third proportional to 169.97 and 413.44 is: 1,005.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.97 : 413.44 = 413.44 : x
  2. Step 2: Convert to fraction form
    169.97/413.44 = 413.44/x
  3. Step 3: Cross multiply
    169.97x = 413.44 × 413.44
  4. Step 4: Simplify right side
    169.97x = 170,930.57
  5. Step 5: Solve for x
    x = 170,930.57/169.97
  6. Step 6: Final answer
    x = 1,005.66

Related Problems

Find third proportional to 84.98 and 206.72
Half scale
Find third proportional to 339.94 and 826.88
Double scale
Find third proportional to 172 and 418
Similar ratio
Find third proportional to 254.95 and 620.16
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.