Home / 6,764-8,024

Finding the Third Proportional to 6,764 and 8,024

Calculator

Solution

The third proportional to 6,764 and 8,024 is: 9,518.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764 : 8,024 = 8,024 : x
  2. Step 2: Convert to fraction form
    6,764/8,024 = 8,024/x
  3. Step 3: Cross multiply
    6,764x = 8,024 × 8,024
  4. Step 4: Simplify right side
    6,764x = 64,384,576
  5. Step 5: Solve for x
    x = 64,384,576/6,764
  6. Step 6: Final answer
    x = 9,518.71

Related Problems

Find third proportional to 3,382 and 4,012
Half scale
Find third proportional to 13,528 and 16,048
Double scale
Find third proportional to 6,766 and 8,026
Similar ratio
Find third proportional to 10,146 and 12,036
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.