Home / 1,940-2,971

Finding the Third Proportional to 1,940 and 2,971

Calculator

Solution

The third proportional to 1,940 and 2,971 is: 4,549.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940 : 2,971 = 2,971 : x
  2. Step 2: Convert to fraction form
    1,940/2,971 = 2,971/x
  3. Step 3: Cross multiply
    1,940x = 2,971 × 2,971
  4. Step 4: Simplify right side
    1,940x = 8,826,841
  5. Step 5: Solve for x
    x = 8,826,841/1,940
  6. Step 6: Final answer
    x = 4,549.92

Related Problems

Find third proportional to 970 and 1,485.50
Half scale
Find third proportional to 3,880 and 5,942
Double scale
Find third proportional to 1,942 and 2,974
Similar ratio
Find third proportional to 2,910 and 4,456.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.