Home / 2,072-3,668

Finding the Third Proportional to 2,072 and 3,668

Calculator

Solution

The third proportional to 2,072 and 3,668 is: 6,493.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072 : 3,668 = 3,668 : x
  2. Step 2: Convert to fraction form
    2,072/3,668 = 3,668/x
  3. Step 3: Cross multiply
    2,072x = 3,668 × 3,668
  4. Step 4: Simplify right side
    2,072x = 13,454,224
  5. Step 5: Solve for x
    x = 13,454,224/2,072
  6. Step 6: Final answer
    x = 6,493.35

Related Problems

Find third proportional to 1,036 and 1,834
Half scale
Find third proportional to 4,144 and 7,336
Double scale
Find third proportional to 2,074 and 3,672
Similar ratio
Find third proportional to 3,108 and 5,502
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.