Home / 132-142

Finding the Third Proportional to 132 and 142

Calculator

Solution

The third proportional to 132 and 142 is: 152.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132 : 142 = 142 : x
  2. Step 2: Convert to fraction form
    132/142 = 142/x
  3. Step 3: Cross multiply
    132x = 142 × 142
  4. Step 4: Simplify right side
    132x = 20,164
  5. Step 5: Solve for x
    x = 20,164/132
  6. Step 6: Final answer
    x = 152.76

Related Problems

Find third proportional to 66 and 71
Half scale
Find third proportional to 264 and 284
Double scale
Find third proportional to 134 and 144
Similar ratio
Find third proportional to 198 and 213
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.