Home / 150,002-210,996

Finding the Third Proportional to 150,002 and 210,996

Calculator

Solution

The third proportional to 150,002 and 210,996 is: 296,791.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,002 : 210,996 = 210,996 : x
  2. Step 2: Convert to fraction form
    150,002/210,996 = 210,996/x
  3. Step 3: Cross multiply
    150,002x = 210,996 × 210,996
  4. Step 4: Simplify right side
    150,002x = 44,519,312,016
  5. Step 5: Solve for x
    x = 44,519,312,016/150,002
  6. Step 6: Final answer
    x = 296,791.46

Related Problems

Find third proportional to 75,001 and 105,498
Half scale
Find third proportional to 300,004 and 421,992
Double scale
Find third proportional to 150,004 and 210,999
Similar ratio
Find third proportional to 225,003 and 316,494
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.