Home / 680.50-1,219

Finding the Third Proportional to 680.50 and 1,219

Calculator

Solution

The third proportional to 680.50 and 1,219 is: 2,183.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.50 : 1,219 = 1,219 : x
  2. Step 2: Convert to fraction form
    680.50/1,219 = 1,219/x
  3. Step 3: Cross multiply
    680.50x = 1,219 × 1,219
  4. Step 4: Simplify right side
    680.50x = 1,485,961
  5. Step 5: Solve for x
    x = 1,485,961/680.50
  6. Step 6: Final answer
    x = 2,183.63

Related Problems

Find third proportional to 340.25 and 609.50
Half scale
Find third proportional to 1,361 and 2,438
Double scale
Find third proportional to 683 and 1,223
Similar ratio
Find third proportional to 1,020.75 and 1,828.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.