Home / 199,824-421,952

Finding the Third Proportional to 199,824 and 421,952

Calculator

Solution

The third proportional to 199,824 and 421,952 is: 891,001.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,824 : 421,952 = 421,952 : x
  2. Step 2: Convert to fraction form
    199,824/421,952 = 421,952/x
  3. Step 3: Cross multiply
    199,824x = 421,952 × 421,952
  4. Step 4: Simplify right side
    199,824x = 178,043,490,304
  5. Step 5: Solve for x
    x = 178,043,490,304/199,824
  6. Step 6: Final answer
    x = 891,001.53

Related Problems

Find third proportional to 99,912 and 210,976
Half scale
Find third proportional to 399,648 and 843,904
Double scale
Find third proportional to 199,826 and 421,956
Similar ratio
Find third proportional to 299,736 and 632,928
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.