Home / 219,198-321,883

Finding the Third Proportional to 219,198 and 321,883

Calculator

Solution

The third proportional to 219,198 and 321,883 is: 472,671.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,198 : 321,883 = 321,883 : x
  2. Step 2: Convert to fraction form
    219,198/321,883 = 321,883/x
  3. Step 3: Cross multiply
    219,198x = 321,883 × 321,883
  4. Step 4: Simplify right side
    219,198x = 103,608,665,689
  5. Step 5: Solve for x
    x = 103,608,665,689/219,198
  6. Step 6: Final answer
    x = 472,671.58

Related Problems

Find third proportional to 109,599 and 160,941.50
Half scale
Find third proportional to 438,396 and 643,766
Double scale
Find third proportional to 219,200 and 321,886
Similar ratio
Find third proportional to 328,797 and 482,824.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.