Home / 1,371-2,084

Finding the Third Proportional to 1,371 and 2,084

Calculator

Solution

The third proportional to 1,371 and 2,084 is: 3,167.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371 : 2,084 = 2,084 : x
  2. Step 2: Convert to fraction form
    1,371/2,084 = 2,084/x
  3. Step 3: Cross multiply
    1,371x = 2,084 × 2,084
  4. Step 4: Simplify right side
    1,371x = 4,343,056
  5. Step 5: Solve for x
    x = 4,343,056/1,371
  6. Step 6: Final answer
    x = 3,167.80

Related Problems

Find third proportional to 685.50 and 1,042
Half scale
Find third proportional to 2,742 and 4,168
Double scale
Find third proportional to 1,373 and 2,087
Similar ratio
Find third proportional to 2,056.50 and 3,126
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.