Home / 706.22-968.20

Finding the Third Proportional to 706.22 and 968.20

Calculator

Solution

The third proportional to 706.22 and 968.20 is: 1,327.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.22 : 968.20 = 968.20 : x
  2. Step 2: Convert to fraction form
    706.22/968.20 = 968.20/x
  3. Step 3: Cross multiply
    706.22x = 968.20 × 968.20
  4. Step 4: Simplify right side
    706.22x = 937,417.29
  5. Step 5: Solve for x
    x = 937,417.29/706.22
  6. Step 6: Final answer
    x = 1,327.38

Related Problems

Find third proportional to 353.11 and 484.10
Half scale
Find third proportional to 1,412.44 and 1,936.41
Double scale
Find third proportional to 708 and 971
Similar ratio
Find third proportional to 1,059.33 and 1,452.30
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.