Home / 1,356-2,074

Finding the Third Proportional to 1,356 and 2,074

Calculator

Solution

The third proportional to 1,356 and 2,074 is: 3,172.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356 : 2,074 = 2,074 : x
  2. Step 2: Convert to fraction form
    1,356/2,074 = 2,074/x
  3. Step 3: Cross multiply
    1,356x = 2,074 × 2,074
  4. Step 4: Simplify right side
    1,356x = 4,301,476
  5. Step 5: Solve for x
    x = 4,301,476/1,356
  6. Step 6: Final answer
    x = 3,172.18

Related Problems

Find third proportional to 678 and 1,037
Half scale
Find third proportional to 2,712 and 4,148
Double scale
Find third proportional to 1,358 and 2,077
Similar ratio
Find third proportional to 2,034 and 3,111
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.