Home / 176-197

Finding the Third Proportional to 176 and 197

Calculator

Solution

The third proportional to 176 and 197 is: 220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176 : 197 = 197 : x
  2. Step 2: Convert to fraction form
    176/197 = 197/x
  3. Step 3: Cross multiply
    176x = 197 × 197
  4. Step 4: Simplify right side
    176x = 38,809
  5. Step 5: Solve for x
    x = 38,809/176
  6. Step 6: Final answer
    x = 220.51

Related Problems

Find third proportional to 88 and 98.50
Half scale
Find third proportional to 352 and 394
Double scale
Find third proportional to 178 and 199
Similar ratio
Find third proportional to 264 and 295.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.