Home / 101,952-220,032

Finding the Third Proportional to 101,952 and 220,032

Calculator

Solution

The third proportional to 101,952 and 220,032 is: 474,871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,952 : 220,032 = 220,032 : x
  2. Step 2: Convert to fraction form
    101,952/220,032 = 220,032/x
  3. Step 3: Cross multiply
    101,952x = 220,032 × 220,032
  4. Step 4: Simplify right side
    101,952x = 48,414,081,024
  5. Step 5: Solve for x
    x = 48,414,081,024/101,952
  6. Step 6: Final answer
    x = 474,871.32

Related Problems

Find third proportional to 50,976 and 110,016
Half scale
Find third proportional to 203,904 and 440,064
Double scale
Find third proportional to 101,954 and 220,036
Similar ratio
Find third proportional to 152,928 and 330,048
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.