Home / 101.53-213.19

Finding the Third Proportional to 101.53 and 213.19

Calculator

Solution

The third proportional to 101.53 and 213.19 is: 447.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.53 : 213.19 = 213.19 : x
  2. Step 2: Convert to fraction form
    101.53/213.19 = 213.19/x
  3. Step 3: Cross multiply
    101.53x = 213.19 × 213.19
  4. Step 4: Simplify right side
    101.53x = 45,448.91
  5. Step 5: Solve for x
    x = 45,448.91/101.53
  6. Step 6: Final answer
    x = 447.63

Related Problems

Find third proportional to 50.77 and 106.59
Half scale
Find third proportional to 203.06 and 426.38
Double scale
Find third proportional to 104 and 217
Similar ratio
Find third proportional to 152.30 and 319.78
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.