Home / 6,785-7,406

Finding the Third Proportional to 6,785 and 7,406

Calculator

Solution

The third proportional to 6,785 and 7,406 is: 8,083.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785 : 7,406 = 7,406 : x
  2. Step 2: Convert to fraction form
    6,785/7,406 = 7,406/x
  3. Step 3: Cross multiply
    6,785x = 7,406 × 7,406
  4. Step 4: Simplify right side
    6,785x = 54,848,836
  5. Step 5: Solve for x
    x = 54,848,836/6,785
  6. Step 6: Final answer
    x = 8,083.84

Related Problems

Find third proportional to 3,392.50 and 3,703
Half scale
Find third proportional to 13,570 and 14,812
Double scale
Find third proportional to 6,787 and 7,408
Similar ratio
Find third proportional to 10,177.50 and 11,109
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.