Home / 1,947-2,371

Finding the Third Proportional to 1,947 and 2,371

Calculator

Solution

The third proportional to 1,947 and 2,371 is: 2,887.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947 : 2,371 = 2,371 : x
  2. Step 2: Convert to fraction form
    1,947/2,371 = 2,371/x
  3. Step 3: Cross multiply
    1,947x = 2,371 × 2,371
  4. Step 4: Simplify right side
    1,947x = 5,621,641
  5. Step 5: Solve for x
    x = 5,621,641/1,947
  6. Step 6: Final answer
    x = 2,887.33

Related Problems

Find third proportional to 973.50 and 1,185.50
Half scale
Find third proportional to 3,894 and 4,742
Double scale
Find third proportional to 1,949 and 2,373
Similar ratio
Find third proportional to 2,920.50 and 3,556.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.