Home / 20,816-31,652

Finding the Third Proportional to 20,816 and 31,652

Calculator

Solution

The third proportional to 20,816 and 31,652 is: 48,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,816 : 31,652 = 31,652 : x
  2. Step 2: Convert to fraction form
    20,816/31,652 = 31,652/x
  3. Step 3: Cross multiply
    20,816x = 31,652 × 31,652
  4. Step 4: Simplify right side
    20,816x = 1,001,849,104
  5. Step 5: Solve for x
    x = 1,001,849,104/20,816
  6. Step 6: Final answer
    x = 48,128.80

Related Problems

Find third proportional to 10,408 and 15,826
Half scale
Find third proportional to 41,632 and 63,304
Double scale
Find third proportional to 20,818 and 31,655
Similar ratio
Find third proportional to 31,224 and 47,478
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.