Home / 518-649

Finding the Third Proportional to 518 and 649

Calculator

Solution

The third proportional to 518 and 649 is: 813.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    518 : 649 = 649 : x
  2. Step 2: Convert to fraction form
    518/649 = 649/x
  3. Step 3: Cross multiply
    518x = 649 × 649
  4. Step 4: Simplify right side
    518x = 421,201
  5. Step 5: Solve for x
    x = 421,201/518
  6. Step 6: Final answer
    x = 813.13

Related Problems

Find third proportional to 259 and 324.50
Half scale
Find third proportional to 1,036 and 1,298
Double scale
Find third proportional to 520 and 652
Similar ratio
Find third proportional to 777 and 973.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.