Home / 135,968-210,012

Finding the Third Proportional to 135,968 and 210,012

Calculator

Solution

The third proportional to 135,968 and 210,012 is: 324,378.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,968 : 210,012 = 210,012 : x
  2. Step 2: Convert to fraction form
    135,968/210,012 = 210,012/x
  3. Step 3: Cross multiply
    135,968x = 210,012 × 210,012
  4. Step 4: Simplify right side
    135,968x = 44,105,040,144
  5. Step 5: Solve for x
    x = 44,105,040,144/135,968
  6. Step 6: Final answer
    x = 324,378.09

Related Problems

Find third proportional to 67,984 and 105,006
Half scale
Find third proportional to 271,936 and 420,024
Double scale
Find third proportional to 135,970 and 210,015
Similar ratio
Find third proportional to 203,952 and 315,018
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.