Home / 205,923-451,212

Finding the Third Proportional to 205,923 and 451,212

Calculator

Solution

The third proportional to 205,923 and 451,212 is: 988,681.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,923 : 451,212 = 451,212 : x
  2. Step 2: Convert to fraction form
    205,923/451,212 = 451,212/x
  3. Step 3: Cross multiply
    205,923x = 451,212 × 451,212
  4. Step 4: Simplify right side
    205,923x = 203,592,268,944
  5. Step 5: Solve for x
    x = 203,592,268,944/205,923
  6. Step 6: Final answer
    x = 988,681.54

Related Problems

Find third proportional to 102,961.50 and 225,606
Half scale
Find third proportional to 411,846 and 902,424
Double scale
Find third proportional to 205,925 and 451,216
Similar ratio
Find third proportional to 308,884.50 and 676,818
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.