Home / 1,356-2,053

Finding the Third Proportional to 1,356 and 2,053

Calculator

Solution

The third proportional to 1,356 and 2,053 is: 3,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356 : 2,053 = 2,053 : x
  2. Step 2: Convert to fraction form
    1,356/2,053 = 2,053/x
  3. Step 3: Cross multiply
    1,356x = 2,053 × 2,053
  4. Step 4: Simplify right side
    1,356x = 4,214,809
  5. Step 5: Solve for x
    x = 4,214,809/1,356
  6. Step 6: Final answer
    x = 3,108.27

Related Problems

Find third proportional to 678 and 1,026.50
Half scale
Find third proportional to 2,712 and 4,106
Double scale
Find third proportional to 1,358 and 2,056
Similar ratio
Find third proportional to 2,034 and 3,079.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.