Home / 6,397-11,114

Finding the Third Proportional to 6,397 and 11,114

Calculator

Solution

The third proportional to 6,397 and 11,114 is: 19,309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397 : 11,114 = 11,114 : x
  2. Step 2: Convert to fraction form
    6,397/11,114 = 11,114/x
  3. Step 3: Cross multiply
    6,397x = 11,114 × 11,114
  4. Step 4: Simplify right side
    6,397x = 123,520,996
  5. Step 5: Solve for x
    x = 123,520,996/6,397
  6. Step 6: Final answer
    x = 19,309.21

Related Problems

Find third proportional to 3,198.50 and 5,557
Half scale
Find third proportional to 12,794 and 22,228
Double scale
Find third proportional to 6,399 and 11,117
Similar ratio
Find third proportional to 9,595.50 and 16,671
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.