Home / 7,991-11,311

Finding the Third Proportional to 7,991 and 11,311

Calculator

Solution

The third proportional to 7,991 and 11,311 is: 16,010.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,991 : 11,311 = 11,311 : x
  2. Step 2: Convert to fraction form
    7,991/11,311 = 11,311/x
  3. Step 3: Cross multiply
    7,991x = 11,311 × 11,311
  4. Step 4: Simplify right side
    7,991x = 127,938,721
  5. Step 5: Solve for x
    x = 127,938,721/7,991
  6. Step 6: Final answer
    x = 16,010.35

Related Problems

Find third proportional to 3,995.50 and 5,655.50
Half scale
Find third proportional to 15,982 and 22,622
Double scale
Find third proportional to 7,993 and 11,314
Similar ratio
Find third proportional to 11,986.50 and 16,966.50
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.