Home / 7,198-11,557

Finding the Third Proportional to 7,198 and 11,557

Calculator

Solution

The third proportional to 7,198 and 11,557 is: 18,555.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198 : 11,557 = 11,557 : x
  2. Step 2: Convert to fraction form
    7,198/11,557 = 11,557/x
  3. Step 3: Cross multiply
    7,198x = 11,557 × 11,557
  4. Step 4: Simplify right side
    7,198x = 133,564,249
  5. Step 5: Solve for x
    x = 133,564,249/7,198
  6. Step 6: Final answer
    x = 18,555.74

Related Problems

Find third proportional to 3,599 and 5,778.50
Half scale
Find third proportional to 14,396 and 23,114
Double scale
Find third proportional to 7,200 and 11,560
Similar ratio
Find third proportional to 10,797 and 17,335.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.