Home / 138,723-210,096

Finding the Third Proportional to 138,723 and 210,096

Calculator

Solution

The third proportional to 138,723 and 210,096 is: 318,190.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,723 : 210,096 = 210,096 : x
  2. Step 2: Convert to fraction form
    138,723/210,096 = 210,096/x
  3. Step 3: Cross multiply
    138,723x = 210,096 × 210,096
  4. Step 4: Simplify right side
    138,723x = 44,140,329,216
  5. Step 5: Solve for x
    x = 44,140,329,216/138,723
  6. Step 6: Final answer
    x = 318,190.42

Related Problems

Find third proportional to 69,361.50 and 105,048
Half scale
Find third proportional to 277,446 and 420,192
Double scale
Find third proportional to 138,725 and 210,099
Similar ratio
Find third proportional to 208,084.50 and 315,144
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.