Home / 153.94-213.84

Finding the Third Proportional to 153.94 and 213.84

Calculator

Solution

The third proportional to 153.94 and 213.84 is: 297.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.94 : 213.84 = 213.84 : x
  2. Step 2: Convert to fraction form
    153.94/213.84 = 213.84/x
  3. Step 3: Cross multiply
    153.94x = 213.84 × 213.84
  4. Step 4: Simplify right side
    153.94x = 45,729.15
  5. Step 5: Solve for x
    x = 45,729.15/153.94
  6. Step 6: Final answer
    x = 297.06

Related Problems

Find third proportional to 76.97 and 106.92
Half scale
Find third proportional to 307.88 and 427.69
Double scale
Find third proportional to 156 and 217
Similar ratio
Find third proportional to 230.91 and 320.77
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.