Home / 197.06-414.42

Finding the Third Proportional to 197.06 and 414.42

Calculator

Solution

The third proportional to 197.06 and 414.42 is: 871.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.06 : 414.42 = 414.42 : x
  2. Step 2: Convert to fraction form
    197.06/414.42 = 414.42/x
  3. Step 3: Cross multiply
    197.06x = 414.42 × 414.42
  4. Step 4: Simplify right side
    197.06x = 171,745.49
  5. Step 5: Solve for x
    x = 171,745.49/197.06
  6. Step 6: Final answer
    x = 871.53

Related Problems

Find third proportional to 98.53 and 207.21
Half scale
Find third proportional to 394.13 and 828.84
Double scale
Find third proportional to 199 and 419
Similar ratio
Find third proportional to 295.59 and 621.63
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.