Home / 819-1,690

Finding the Third Proportional to 819 and 1,690

Calculator

Solution

The third proportional to 819 and 1,690 is: 3,487.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    819 : 1,690 = 1,690 : x
  2. Step 2: Convert to fraction form
    819/1,690 = 1,690/x
  3. Step 3: Cross multiply
    819x = 1,690 × 1,690
  4. Step 4: Simplify right side
    819x = 2,856,100
  5. Step 5: Solve for x
    x = 2,856,100/819
  6. Step 6: Final answer
    x = 3,487.30

Related Problems

Find third proportional to 409.50 and 845
Half scale
Find third proportional to 1,638 and 3,380
Double scale
Find third proportional to 821 and 1,694
Similar ratio
Find third proportional to 1,228.50 and 2,535
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.