Home / 96,096-221,191

Finding the Third Proportional to 96,096 and 221,191

Calculator

Solution

The third proportional to 96,096 and 221,191 is: 509,131.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,096 : 221,191 = 221,191 : x
  2. Step 2: Convert to fraction form
    96,096/221,191 = 221,191/x
  3. Step 3: Cross multiply
    96,096x = 221,191 × 221,191
  4. Step 4: Simplify right side
    96,096x = 48,925,458,481
  5. Step 5: Solve for x
    x = 48,925,458,481/96,096
  6. Step 6: Final answer
    x = 509,131.06

Related Problems

Find third proportional to 48,048 and 110,595.50
Half scale
Find third proportional to 192,192 and 442,382
Double scale
Find third proportional to 96,098 and 221,196
Similar ratio
Find third proportional to 144,144 and 331,786.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.