Home / 1,078-1,478

Finding the Third Proportional to 1,078 and 1,478

Calculator

Solution

The third proportional to 1,078 and 1,478 is: 2,026.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078 : 1,478 = 1,478 : x
  2. Step 2: Convert to fraction form
    1,078/1,478 = 1,478/x
  3. Step 3: Cross multiply
    1,078x = 1,478 × 1,478
  4. Step 4: Simplify right side
    1,078x = 2,184,484
  5. Step 5: Solve for x
    x = 2,184,484/1,078
  6. Step 6: Final answer
    x = 2,026.42

Related Problems

Find third proportional to 539 and 739
Half scale
Find third proportional to 2,156 and 2,956
Double scale
Find third proportional to 1,080 and 1,481
Similar ratio
Find third proportional to 1,617 and 2,217
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.