Home / 96.09-144.14

Finding the Third Proportional to 96.09 and 144.14

Calculator

Solution

The third proportional to 96.09 and 144.14 is: 216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.09 : 144.14 = 144.14 : x
  2. Step 2: Convert to fraction form
    96.09/144.14 = 144.14/x
  3. Step 3: Cross multiply
    96.09x = 144.14 × 144.14
  4. Step 4: Simplify right side
    96.09x = 20,776.52
  5. Step 5: Solve for x
    x = 20,776.52/96.09
  6. Step 6: Final answer
    x = 216.21

Related Problems

Find third proportional to 48.05 and 72.07
Half scale
Find third proportional to 192.19 and 288.28
Double scale
Find third proportional to 98 and 147
Similar ratio
Find third proportional to 144.14 and 216.21
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.