Home / 1,344-1,840

Finding the Third Proportional to 1,344 and 1,840

Calculator

Solution

The third proportional to 1,344 and 1,840 is: 2,519.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344 : 1,840 = 1,840 : x
  2. Step 2: Convert to fraction form
    1,344/1,840 = 1,840/x
  3. Step 3: Cross multiply
    1,344x = 1,840 × 1,840
  4. Step 4: Simplify right side
    1,344x = 3,385,600
  5. Step 5: Solve for x
    x = 3,385,600/1,344
  6. Step 6: Final answer
    x = 2,519.05

Related Problems

Find third proportional to 672 and 920
Half scale
Find third proportional to 2,688 and 3,680
Double scale
Find third proportional to 1,346 and 1,843
Similar ratio
Find third proportional to 2,016 and 2,760
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.