Home / 382.13-680.25

Finding the Third Proportional to 382.13 and 680.25

Calculator

Solution

The third proportional to 382.13 and 680.25 is: 1,210.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.13 : 680.25 = 680.25 : x
  2. Step 2: Convert to fraction form
    382.13/680.25 = 680.25/x
  3. Step 3: Cross multiply
    382.13x = 680.25 × 680.25
  4. Step 4: Simplify right side
    382.13x = 462,740.06
  5. Step 5: Solve for x
    x = 462,740.06/382.13
  6. Step 6: Final answer
    x = 1,210.97

Related Problems

Find third proportional to 191.06 and 340.13
Half scale
Find third proportional to 764.25 and 1,360.50
Double scale
Find third proportional to 384 and 684
Similar ratio
Find third proportional to 573.19 and 1,020.38
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.