Home / 82-142

Finding the Third Proportional to 82 and 142

Calculator

Solution

The third proportional to 82 and 142 is: 245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82 : 142 = 142 : x
  2. Step 2: Convert to fraction form
    82/142 = 142/x
  3. Step 3: Cross multiply
    82x = 142 × 142
  4. Step 4: Simplify right side
    82x = 20,164
  5. Step 5: Solve for x
    x = 20,164/82
  6. Step 6: Final answer
    x = 245.90

Related Problems

Find third proportional to 41 and 71
Half scale
Find third proportional to 164 and 284
Double scale
Find third proportional to 84 and 145
Similar ratio
Find third proportional to 123 and 213
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.