Home / 1,412-1,704

Finding the Third Proportional to 1,412 and 1,704

Calculator

Solution

The third proportional to 1,412 and 1,704 is: 2,056.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412 : 1,704 = 1,704 : x
  2. Step 2: Convert to fraction form
    1,412/1,704 = 1,704/x
  3. Step 3: Cross multiply
    1,412x = 1,704 × 1,704
  4. Step 4: Simplify right side
    1,412x = 2,903,616
  5. Step 5: Solve for x
    x = 2,903,616/1,412
  6. Step 6: Final answer
    x = 2,056.39

Related Problems

Find third proportional to 706 and 852
Half scale
Find third proportional to 2,824 and 3,408
Double scale
Find third proportional to 1,414 and 1,706
Similar ratio
Find third proportional to 2,118 and 2,556
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.