Home / 2,011-3,770

Finding the Third Proportional to 2,011 and 3,770

Calculator

Solution

The third proportional to 2,011 and 3,770 is: 7,067.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011 : 3,770 = 3,770 : x
  2. Step 2: Convert to fraction form
    2,011/3,770 = 3,770/x
  3. Step 3: Cross multiply
    2,011x = 3,770 × 3,770
  4. Step 4: Simplify right side
    2,011x = 14,212,900
  5. Step 5: Solve for x
    x = 14,212,900/2,011
  6. Step 6: Final answer
    x = 7,067.58

Related Problems

Find third proportional to 1,005.50 and 1,885
Half scale
Find third proportional to 4,022 and 7,540
Double scale
Find third proportional to 2,013 and 3,774
Similar ratio
Find third proportional to 3,016.50 and 5,655
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.