Home / 412-778

Finding the Third Proportional to 412 and 778

Calculator

Solution

The third proportional to 412 and 778 is: 1,469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    412 : 778 = 778 : x
  2. Step 2: Convert to fraction form
    412/778 = 778/x
  3. Step 3: Cross multiply
    412x = 778 × 778
  4. Step 4: Simplify right side
    412x = 605,284
  5. Step 5: Solve for x
    x = 605,284/412
  6. Step 6: Final answer
    x = 1,469.14

Related Problems

Find third proportional to 206 and 389
Half scale
Find third proportional to 824 and 1,556
Double scale
Find third proportional to 414 and 782
Similar ratio
Find third proportional to 618 and 1,167
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.