Home / 6,380-9,692

Finding the Third Proportional to 6,380 and 9,692

Calculator

Solution

The third proportional to 6,380 and 9,692 is: 14,723.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380 : 9,692 = 9,692 : x
  2. Step 2: Convert to fraction form
    6,380/9,692 = 9,692/x
  3. Step 3: Cross multiply
    6,380x = 9,692 × 9,692
  4. Step 4: Simplify right side
    6,380x = 93,934,864
  5. Step 5: Solve for x
    x = 93,934,864/6,380
  6. Step 6: Final answer
    x = 14,723.33

Related Problems

Find third proportional to 3,190 and 4,846
Half scale
Find third proportional to 12,760 and 19,384
Double scale
Find third proportional to 6,382 and 9,695
Similar ratio
Find third proportional to 9,570 and 14,538
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.