Home / 68-82.25

Finding the Third Proportional to 68 and 82.25

Calculator

Solution

The third proportional to 68 and 82.25 is: 99.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68 : 82.25 = 82.25 : x
  2. Step 2: Convert to fraction form
    68/82.25 = 82.25/x
  3. Step 3: Cross multiply
    68x = 82.25 × 82.25
  4. Step 4: Simplify right side
    68x = 6,765.06
  5. Step 5: Solve for x
    x = 6,765.06/68
  6. Step 6: Final answer
    x = 99.49

Related Problems

Find third proportional to 34 and 41.13
Half scale
Find third proportional to 136 and 164.50
Double scale
Find third proportional to 70 and 85
Similar ratio
Find third proportional to 102 and 123.38
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.