Home / 2,709-4,116

Finding the Third Proportional to 2,709 and 4,116

Calculator

Solution

The third proportional to 2,709 and 4,116 is: 6,253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709 : 4,116 = 4,116 : x
  2. Step 2: Convert to fraction form
    2,709/4,116 = 4,116/x
  3. Step 3: Cross multiply
    2,709x = 4,116 × 4,116
  4. Step 4: Simplify right side
    2,709x = 16,941,456
  5. Step 5: Solve for x
    x = 16,941,456/2,709
  6. Step 6: Final answer
    x = 6,253.77

Related Problems

Find third proportional to 1,354.50 and 2,058
Half scale
Find third proportional to 5,418 and 8,232
Double scale
Find third proportional to 2,711 and 4,119
Similar ratio
Find third proportional to 4,063.50 and 6,174
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.