Home / 197.75-213.50

Finding the Third Proportional to 197.75 and 213.50

Calculator

Solution

The third proportional to 197.75 and 213.50 is: 230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.75 : 213.50 = 213.50 : x
  2. Step 2: Convert to fraction form
    197.75/213.50 = 213.50/x
  3. Step 3: Cross multiply
    197.75x = 213.50 × 213.50
  4. Step 4: Simplify right side
    197.75x = 45,582.25
  5. Step 5: Solve for x
    x = 45,582.25/197.75
  6. Step 6: Final answer
    x = 230.50

Related Problems

Find third proportional to 98.88 and 106.75
Half scale
Find third proportional to 395.50 and 427
Double scale
Find third proportional to 200 and 216
Similar ratio
Find third proportional to 296.63 and 320.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.