Home / 1,406-1,619

Finding the Third Proportional to 1,406 and 1,619

Calculator

Solution

The third proportional to 1,406 and 1,619 is: 1,864.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406 : 1,619 = 1,619 : x
  2. Step 2: Convert to fraction form
    1,406/1,619 = 1,619/x
  3. Step 3: Cross multiply
    1,406x = 1,619 × 1,619
  4. Step 4: Simplify right side
    1,406x = 2,621,161
  5. Step 5: Solve for x
    x = 2,621,161/1,406
  6. Step 6: Final answer
    x = 1,864.27

Related Problems

Find third proportional to 703 and 809.50
Half scale
Find third proportional to 2,812 and 3,238
Double scale
Find third proportional to 1,408 and 1,621
Similar ratio
Find third proportional to 2,109 and 2,428.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.