Home / 174.75-213.56

Finding the Third Proportional to 174.75 and 213.56

Calculator

Solution

The third proportional to 174.75 and 213.56 is: 261.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.75 : 213.56 = 213.56 : x
  2. Step 2: Convert to fraction form
    174.75/213.56 = 213.56/x
  3. Step 3: Cross multiply
    174.75x = 213.56 × 213.56
  4. Step 4: Simplify right side
    174.75x = 45,608.94
  5. Step 5: Solve for x
    x = 45,608.94/174.75
  6. Step 6: Final answer
    x = 261.00

Related Problems

Find third proportional to 87.38 and 106.78
Half scale
Find third proportional to 349.50 and 427.13
Double scale
Find third proportional to 177 and 216
Similar ratio
Find third proportional to 262.13 and 320.34
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.