Home / 102,198-222,396

Finding the Third Proportional to 102,198 and 222,396

Calculator

Solution

The third proportional to 102,198 and 222,396 is: 483,962.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,198 : 222,396 = 222,396 : x
  2. Step 2: Convert to fraction form
    102,198/222,396 = 222,396/x
  3. Step 3: Cross multiply
    102,198x = 222,396 × 222,396
  4. Step 4: Simplify right side
    102,198x = 49,459,980,816
  5. Step 5: Solve for x
    x = 49,459,980,816/102,198
  6. Step 6: Final answer
    x = 483,962.32

Related Problems

Find third proportional to 51,099 and 111,198
Half scale
Find third proportional to 204,396 and 444,792
Double scale
Find third proportional to 102,200 and 222,400
Similar ratio
Find third proportional to 153,297 and 333,594
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.