Home / 1,278-1,704

Finding the Third Proportional to 1,278 and 1,704

Calculator

Solution

The third proportional to 1,278 and 1,704 is: 2,272

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278 : 1,704 = 1,704 : x
  2. Step 2: Convert to fraction form
    1,278/1,704 = 1,704/x
  3. Step 3: Cross multiply
    1,278x = 1,704 × 1,704
  4. Step 4: Simplify right side
    1,278x = 2,903,616
  5. Step 5: Solve for x
    x = 2,903,616/1,278
  6. Step 6: Final answer
    x = 2,272

Related Problems

Find third proportional to 639 and 852
Half scale
Find third proportional to 2,556 and 3,408
Double scale
Find third proportional to 1,280 and 1,707
Similar ratio
Find third proportional to 1,917 and 2,556
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.