Home / 6,780-9,296

Finding the Third Proportional to 6,780 and 9,296

Calculator

Solution

The third proportional to 6,780 and 9,296 is: 12,745.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780 : 9,296 = 9,296 : x
  2. Step 2: Convert to fraction form
    6,780/9,296 = 9,296/x
  3. Step 3: Cross multiply
    6,780x = 9,296 × 9,296
  4. Step 4: Simplify right side
    6,780x = 86,415,616
  5. Step 5: Solve for x
    x = 86,415,616/6,780
  6. Step 6: Final answer
    x = 12,745.67

Related Problems

Find third proportional to 3,390 and 4,648
Half scale
Find third proportional to 13,560 and 18,592
Double scale
Find third proportional to 6,782 and 9,299
Similar ratio
Find third proportional to 10,170 and 13,944
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.