Home / 2,116-3,758

Finding the Third Proportional to 2,116 and 3,758

Calculator

Solution

The third proportional to 2,116 and 3,758 is: 6,674.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116 : 3,758 = 3,758 : x
  2. Step 2: Convert to fraction form
    2,116/3,758 = 3,758/x
  3. Step 3: Cross multiply
    2,116x = 3,758 × 3,758
  4. Step 4: Simplify right side
    2,116x = 14,122,564
  5. Step 5: Solve for x
    x = 14,122,564/2,116
  6. Step 6: Final answer
    x = 6,674.18

Related Problems

Find third proportional to 1,058 and 1,879
Half scale
Find third proportional to 4,232 and 7,516
Double scale
Find third proportional to 2,118 and 3,762
Similar ratio
Find third proportional to 3,174 and 5,637
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.