Home / 412,938-631,251

Finding the Third Proportional to 412,938 and 631,251

Calculator

Solution

The third proportional to 412,938 and 631,251 is: 964,982.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,938 : 631,251 = 631,251 : x
  2. Step 2: Convert to fraction form
    412,938/631,251 = 631,251/x
  3. Step 3: Cross multiply
    412,938x = 631,251 × 631,251
  4. Step 4: Simplify right side
    412,938x = 398,477,825,001
  5. Step 5: Solve for x
    x = 398,477,825,001/412,938
  6. Step 6: Final answer
    x = 964,982.21

Related Problems

Find third proportional to 206,469 and 315,625.50
Half scale
Find third proportional to 825,876 and 1,262,502
Double scale
Find third proportional to 412,940 and 631,254
Similar ratio
Find third proportional to 619,407 and 946,876.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.