Home / 102,210-222,420

Finding the Third Proportional to 102,210 and 222,420

Calculator

Solution

The third proportional to 102,210 and 222,420 is: 484,009.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,210 : 222,420 = 222,420 : x
  2. Step 2: Convert to fraction form
    102,210/222,420 = 222,420/x
  3. Step 3: Cross multiply
    102,210x = 222,420 × 222,420
  4. Step 4: Simplify right side
    102,210x = 49,470,656,400
  5. Step 5: Solve for x
    x = 49,470,656,400/102,210
  6. Step 6: Final answer
    x = 484,009.94

Related Problems

Find third proportional to 51,105 and 111,210
Half scale
Find third proportional to 204,420 and 444,840
Double scale
Find third proportional to 102,212 and 222,424
Similar ratio
Find third proportional to 153,315 and 333,630
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.