Home / 101,972-223,642

Finding the Third Proportional to 101,972 and 223,642

Calculator

Solution

The third proportional to 101,972 and 223,642 is: 490,485.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,972 : 223,642 = 223,642 : x
  2. Step 2: Convert to fraction form
    101,972/223,642 = 223,642/x
  3. Step 3: Cross multiply
    101,972x = 223,642 × 223,642
  4. Step 4: Simplify right side
    101,972x = 50,015,744,164
  5. Step 5: Solve for x
    x = 50,015,744,164/101,972
  6. Step 6: Final answer
    x = 490,485.08

Related Problems

Find third proportional to 50,986 and 111,821
Half scale
Find third proportional to 203,944 and 447,284
Double scale
Find third proportional to 101,974 and 223,646
Similar ratio
Find third proportional to 152,958 and 335,463
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.