Home / 68.34-109.16

Finding the Third Proportional to 68.34 and 109.16

Calculator

Solution

The third proportional to 68.34 and 109.16 is: 174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.34 : 109.16 = 109.16 : x
  2. Step 2: Convert to fraction form
    68.34/109.16 = 109.16/x
  3. Step 3: Cross multiply
    68.34x = 109.16 × 109.16
  4. Step 4: Simplify right side
    68.34x = 11,915.94
  5. Step 5: Solve for x
    x = 11,915.94/68.34
  6. Step 6: Final answer
    x = 174.35

Related Problems

Find third proportional to 34.17 and 54.58
Half scale
Find third proportional to 136.69 and 218.32
Double scale
Find third proportional to 70 and 112
Similar ratio
Find third proportional to 102.52 and 163.74
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.