Home / 7-34

Finding the Third Proportional to 7 and 34

Calculator

Solution

The third proportional to 7 and 34 is: 165.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7 : 34 = 34 : x
  2. Step 2: Convert to fraction form
    7/34 = 34/x
  3. Step 3: Cross multiply
    7x = 34 × 34
  4. Step 4: Simplify right side
    7x = 1,156
  5. Step 5: Solve for x
    x = 1,156/7
  6. Step 6: Final answer
    x = 165.14

Related Problems

Find third proportional to 3.50 and 17
Half scale
Find third proportional to 14 and 68
Double scale
Find third proportional to 9 and 44
Similar ratio
Find third proportional to 10.50 and 51
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (4.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.