Home / 1,690-2,578

Finding the Third Proportional to 1,690 and 2,578

Calculator

Solution

The third proportional to 1,690 and 2,578 is: 3,932.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690 : 2,578 = 2,578 : x
  2. Step 2: Convert to fraction form
    1,690/2,578 = 2,578/x
  3. Step 3: Cross multiply
    1,690x = 2,578 × 2,578
  4. Step 4: Simplify right side
    1,690x = 6,646,084
  5. Step 5: Solve for x
    x = 6,646,084/1,690
  6. Step 6: Final answer
    x = 3,932.59

Related Problems

Find third proportional to 845 and 1,289
Half scale
Find third proportional to 3,380 and 5,156
Double scale
Find third proportional to 1,692 and 2,581
Similar ratio
Find third proportional to 2,535 and 3,867
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.