Home / 1,429-2,134

Finding the Third Proportional to 1,429 and 2,134

Calculator

Solution

The third proportional to 1,429 and 2,134 is: 3,186.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429 : 2,134 = 2,134 : x
  2. Step 2: Convert to fraction form
    1,429/2,134 = 2,134/x
  3. Step 3: Cross multiply
    1,429x = 2,134 × 2,134
  4. Step 4: Simplify right side
    1,429x = 4,553,956
  5. Step 5: Solve for x
    x = 4,553,956/1,429
  6. Step 6: Final answer
    x = 3,186.81

Related Problems

Find third proportional to 714.50 and 1,067
Half scale
Find third proportional to 2,858 and 4,268
Double scale
Find third proportional to 1,431 and 2,137
Similar ratio
Find third proportional to 2,143.50 and 3,201
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.