Home / 95-142

Finding the Third Proportional to 95 and 142

Calculator

Solution

The third proportional to 95 and 142 is: 212.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    95 : 142 = 142 : x
  2. Step 2: Convert to fraction form
    95/142 = 142/x
  3. Step 3: Cross multiply
    95x = 142 × 142
  4. Step 4: Simplify right side
    95x = 20,164
  5. Step 5: Solve for x
    x = 20,164/95
  6. Step 6: Final answer
    x = 212.25

Related Problems

Find third proportional to 47.50 and 71
Half scale
Find third proportional to 190 and 284
Double scale
Find third proportional to 97 and 145
Similar ratio
Find third proportional to 142.50 and 213
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.