Home / 14-34

Finding the Third Proportional to 14 and 34

Calculator

Solution

The third proportional to 14 and 34 is: 82.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14 : 34 = 34 : x
  2. Step 2: Convert to fraction form
    14/34 = 34/x
  3. Step 3: Cross multiply
    14x = 34 × 34
  4. Step 4: Simplify right side
    14x = 1,156
  5. Step 5: Solve for x
    x = 1,156/14
  6. Step 6: Final answer
    x = 82.57

Related Problems

Find third proportional to 7 and 17
Half scale
Find third proportional to 28 and 68
Double scale
Find third proportional to 16 and 39
Similar ratio
Find third proportional to 21 and 51
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.