Home / 694-1,409

Finding the Third Proportional to 694 and 1,409

Calculator

Solution

The third proportional to 694 and 1,409 is: 2,860.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    694 : 1,409 = 1,409 : x
  2. Step 2: Convert to fraction form
    694/1,409 = 1,409/x
  3. Step 3: Cross multiply
    694x = 1,409 × 1,409
  4. Step 4: Simplify right side
    694x = 1,985,281
  5. Step 5: Solve for x
    x = 1,985,281/694
  6. Step 6: Final answer
    x = 2,860.64

Related Problems

Find third proportional to 347 and 704.50
Half scale
Find third proportional to 1,388 and 2,818
Double scale
Find third proportional to 696 and 1,413
Similar ratio
Find third proportional to 1,041 and 2,113.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.