Home / 5,989-9,511

Finding the Third Proportional to 5,989 and 9,511

Calculator

Solution

The third proportional to 5,989 and 9,511 is: 15,104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989 : 9,511 = 9,511 : x
  2. Step 2: Convert to fraction form
    5,989/9,511 = 9,511/x
  3. Step 3: Cross multiply
    5,989x = 9,511 × 9,511
  4. Step 4: Simplify right side
    5,989x = 90,459,121
  5. Step 5: Solve for x
    x = 90,459,121/5,989
  6. Step 6: Final answer
    x = 15,104.21

Related Problems

Find third proportional to 2,994.50 and 4,755.50
Half scale
Find third proportional to 11,978 and 19,022
Double scale
Find third proportional to 5,991 and 9,514
Similar ratio
Find third proportional to 8,983.50 and 14,266.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.