Home / 7,985-10,965

Finding the Third Proportional to 7,985 and 10,965

Calculator

Solution

The third proportional to 7,985 and 10,965 is: 15,057.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,985 : 10,965 = 10,965 : x
  2. Step 2: Convert to fraction form
    7,985/10,965 = 10,965/x
  3. Step 3: Cross multiply
    7,985x = 10,965 × 10,965
  4. Step 4: Simplify right side
    7,985x = 120,231,225
  5. Step 5: Solve for x
    x = 120,231,225/7,985
  6. Step 6: Final answer
    x = 15,057.14

Related Problems

Find third proportional to 3,992.50 and 5,482.50
Half scale
Find third proportional to 15,970 and 21,930
Double scale
Find third proportional to 7,987 and 10,968
Similar ratio
Find third proportional to 11,977.50 and 16,447.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.