Home / 2,354-3,171

Finding the Third Proportional to 2,354 and 3,171

Calculator

Solution

The third proportional to 2,354 and 3,171 is: 4,271.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354 : 3,171 = 3,171 : x
  2. Step 2: Convert to fraction form
    2,354/3,171 = 3,171/x
  3. Step 3: Cross multiply
    2,354x = 3,171 × 3,171
  4. Step 4: Simplify right side
    2,354x = 10,055,241
  5. Step 5: Solve for x
    x = 10,055,241/2,354
  6. Step 6: Final answer
    x = 4,271.56

Related Problems

Find third proportional to 1,177 and 1,585.50
Half scale
Find third proportional to 4,708 and 6,342
Double scale
Find third proportional to 2,356 and 3,174
Similar ratio
Find third proportional to 3,531 and 4,756.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.