Home / 5,709-11,589

Finding the Third Proportional to 5,709 and 11,589

Calculator

Solution

The third proportional to 5,709 and 11,589 is: 23,525.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709 : 11,589 = 11,589 : x
  2. Step 2: Convert to fraction form
    5,709/11,589 = 11,589/x
  3. Step 3: Cross multiply
    5,709x = 11,589 × 11,589
  4. Step 4: Simplify right side
    5,709x = 134,304,921
  5. Step 5: Solve for x
    x = 134,304,921/5,709
  6. Step 6: Final answer
    x = 23,525.12

Related Problems

Find third proportional to 2,854.50 and 5,794.50
Half scale
Find third proportional to 11,418 and 23,178
Double scale
Find third proportional to 5,711 and 11,593
Similar ratio
Find third proportional to 8,563.50 and 17,383.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.