Home / 220.50-413.44

Finding the Third Proportional to 220.50 and 413.44

Calculator

Solution

The third proportional to 220.50 and 413.44 is: 775.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.50 : 413.44 = 413.44 : x
  2. Step 2: Convert to fraction form
    220.50/413.44 = 413.44/x
  3. Step 3: Cross multiply
    220.50x = 413.44 × 413.44
  4. Step 4: Simplify right side
    220.50x = 170,930.57
  5. Step 5: Solve for x
    x = 170,930.57/220.50
  6. Step 6: Final answer
    x = 775.20

Related Problems

Find third proportional to 110.25 and 206.72
Half scale
Find third proportional to 441 and 826.88
Double scale
Find third proportional to 223 and 417
Similar ratio
Find third proportional to 330.75 and 620.16
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.