Home / 100,100-213,322

Finding the Third Proportional to 100,100 and 213,322

Calculator

Solution

The third proportional to 100,100 and 213,322 is: 454,608.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,100 : 213,322 = 213,322 : x
  2. Step 2: Convert to fraction form
    100,100/213,322 = 213,322/x
  3. Step 3: Cross multiply
    100,100x = 213,322 × 213,322
  4. Step 4: Simplify right side
    100,100x = 45,506,275,684
  5. Step 5: Solve for x
    x = 45,506,275,684/100,100
  6. Step 6: Final answer
    x = 454,608.15

Related Problems

Find third proportional to 50,050 and 106,661
Half scale
Find third proportional to 200,200 and 426,644
Double scale
Find third proportional to 100,102 and 213,326
Similar ratio
Find third proportional to 150,150 and 319,983
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.