Home / 20,800-31,972

Finding the Third Proportional to 20,800 and 31,972

Calculator

Solution

The third proportional to 20,800 and 31,972 is: 49,144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800 : 31,972 = 31,972 : x
  2. Step 2: Convert to fraction form
    20,800/31,972 = 31,972/x
  3. Step 3: Cross multiply
    20,800x = 31,972 × 31,972
  4. Step 4: Simplify right side
    20,800x = 1,022,208,784
  5. Step 5: Solve for x
    x = 1,022,208,784/20,800
  6. Step 6: Final answer
    x = 49,144.65

Related Problems

Find third proportional to 10,400 and 15,986
Half scale
Find third proportional to 41,600 and 63,944
Double scale
Find third proportional to 20,802 and 31,975
Similar ratio
Find third proportional to 31,200 and 47,958
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.