Home / 98,212-214,416

Finding the Third Proportional to 98,212 and 214,416

Calculator

Solution

The third proportional to 98,212 and 214,416 is: 468,112.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,212 : 214,416 = 214,416 : x
  2. Step 2: Convert to fraction form
    98,212/214,416 = 214,416/x
  3. Step 3: Cross multiply
    98,212x = 214,416 × 214,416
  4. Step 4: Simplify right side
    98,212x = 45,974,221,056
  5. Step 5: Solve for x
    x = 45,974,221,056/98,212
  6. Step 6: Final answer
    x = 468,112.05

Related Problems

Find third proportional to 49,106 and 107,208
Half scale
Find third proportional to 196,424 and 428,832
Double scale
Find third proportional to 98,214 and 214,420
Similar ratio
Find third proportional to 147,318 and 321,624
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.