Home / 203,930-420,971

Finding the Third Proportional to 203,930 and 420,971

Calculator

Solution

The third proportional to 203,930 and 420,971 is: 869,006.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,930 : 420,971 = 420,971 : x
  2. Step 2: Convert to fraction form
    203,930/420,971 = 420,971/x
  3. Step 3: Cross multiply
    203,930x = 420,971 × 420,971
  4. Step 4: Simplify right side
    203,930x = 177,216,582,841
  5. Step 5: Solve for x
    x = 177,216,582,841/203,930
  6. Step 6: Final answer
    x = 869,006.93

Related Problems

Find third proportional to 101,965 and 210,485.50
Half scale
Find third proportional to 407,860 and 841,942
Double scale
Find third proportional to 203,932 and 420,975
Similar ratio
Find third proportional to 305,895 and 631,456.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.