Home / 6,938-9,823

Finding the Third Proportional to 6,938 and 9,823

Calculator

Solution

The third proportional to 6,938 and 9,823 is: 13,907.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938 : 9,823 = 9,823 : x
  2. Step 2: Convert to fraction form
    6,938/9,823 = 9,823/x
  3. Step 3: Cross multiply
    6,938x = 9,823 × 9,823
  4. Step 4: Simplify right side
    6,938x = 96,491,329
  5. Step 5: Solve for x
    x = 96,491,329/6,938
  6. Step 6: Final answer
    x = 13,907.66

Related Problems

Find third proportional to 3,469 and 4,911.50
Half scale
Find third proportional to 13,876 and 19,646
Double scale
Find third proportional to 6,940 and 9,826
Similar ratio
Find third proportional to 10,407 and 14,734.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.