Home / 82.75-178.75

Finding the Third Proportional to 82.75 and 178.75

Calculator

Solution

The third proportional to 82.75 and 178.75 is: 386.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.75 : 178.75 = 178.75 : x
  2. Step 2: Convert to fraction form
    82.75/178.75 = 178.75/x
  3. Step 3: Cross multiply
    82.75x = 178.75 × 178.75
  4. Step 4: Simplify right side
    82.75x = 31,951.56
  5. Step 5: Solve for x
    x = 31,951.56/82.75
  6. Step 6: Final answer
    x = 386.12

Related Problems

Find third proportional to 41.38 and 89.38
Half scale
Find third proportional to 165.50 and 357.50
Double scale
Find third proportional to 85 and 183
Similar ratio
Find third proportional to 124.13 and 268.13
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.