Home / 3,166-6,589

Finding the Third Proportional to 3,166 and 6,589

Calculator

Solution

The third proportional to 3,166 and 6,589 is: 13,712.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166 : 6,589 = 6,589 : x
  2. Step 2: Convert to fraction form
    3,166/6,589 = 6,589/x
  3. Step 3: Cross multiply
    3,166x = 6,589 × 6,589
  4. Step 4: Simplify right side
    3,166x = 43,414,921
  5. Step 5: Solve for x
    x = 43,414,921/3,166
  6. Step 6: Final answer
    x = 13,712.86

Related Problems

Find third proportional to 1,583 and 3,294.50
Half scale
Find third proportional to 6,332 and 13,178
Double scale
Find third proportional to 3,168 and 6,593
Similar ratio
Find third proportional to 4,749 and 9,883.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.