Home / 680.25-1,410.75

Finding the Third Proportional to 680.25 and 1,410.75

Calculator

Solution

The third proportional to 680.25 and 1,410.75 is: 2,925.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.25 : 1,410.75 = 1,410.75 : x
  2. Step 2: Convert to fraction form
    680.25/1,410.75 = 1,410.75/x
  3. Step 3: Cross multiply
    680.25x = 1,410.75 × 1,410.75
  4. Step 4: Simplify right side
    680.25x = 1,990,215.56
  5. Step 5: Solve for x
    x = 1,990,215.56/680.25
  6. Step 6: Final answer
    x = 2,925.71

Related Problems

Find third proportional to 340.13 and 705.38
Half scale
Find third proportional to 1,360.50 and 2,821.50
Double scale
Find third proportional to 682 and 1,415
Similar ratio
Find third proportional to 1,020.38 and 2,116.13
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.