Home / 89,669-199,021

Finding the Third Proportional to 89,669 and 199,021

Calculator

Solution

The third proportional to 89,669 and 199,021 is: 441,728.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,669 : 199,021 = 199,021 : x
  2. Step 2: Convert to fraction form
    89,669/199,021 = 199,021/x
  3. Step 3: Cross multiply
    89,669x = 199,021 × 199,021
  4. Step 4: Simplify right side
    89,669x = 39,609,358,441
  5. Step 5: Solve for x
    x = 39,609,358,441/89,669
  6. Step 6: Final answer
    x = 441,728.56

Related Problems

Find third proportional to 44,834.50 and 99,510.50
Half scale
Find third proportional to 179,338 and 398,042
Double scale
Find third proportional to 89,671 and 199,025
Similar ratio
Find third proportional to 134,503.50 and 298,531.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.