Home / 6,340-6,907

Finding the Third Proportional to 6,340 and 6,907

Calculator

Solution

The third proportional to 6,340 and 6,907 is: 7,524.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340 : 6,907 = 6,907 : x
  2. Step 2: Convert to fraction form
    6,340/6,907 = 6,907/x
  3. Step 3: Cross multiply
    6,340x = 6,907 × 6,907
  4. Step 4: Simplify right side
    6,340x = 47,706,649
  5. Step 5: Solve for x
    x = 47,706,649/6,340
  6. Step 6: Final answer
    x = 7,524.71

Related Problems

Find third proportional to 3,170 and 3,453.50
Half scale
Find third proportional to 12,680 and 13,814
Double scale
Find third proportional to 6,342 and 6,909
Similar ratio
Find third proportional to 9,510 and 10,360.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.