Home / 2,406-3,687

Finding the Third Proportional to 2,406 and 3,687

Calculator

Solution

The third proportional to 2,406 and 3,687 is: 5,650.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406 : 3,687 = 3,687 : x
  2. Step 2: Convert to fraction form
    2,406/3,687 = 3,687/x
  3. Step 3: Cross multiply
    2,406x = 3,687 × 3,687
  4. Step 4: Simplify right side
    2,406x = 13,593,969
  5. Step 5: Solve for x
    x = 13,593,969/2,406
  6. Step 6: Final answer
    x = 5,650.03

Related Problems

Find third proportional to 1,203 and 1,843.50
Half scale
Find third proportional to 4,812 and 7,374
Double scale
Find third proportional to 2,408 and 3,690
Similar ratio
Find third proportional to 3,609 and 5,530.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.