Home / 21,820-47,121

Finding the Third Proportional to 21,820 and 47,121

Calculator

Solution

The third proportional to 21,820 and 47,121 is: 101,759.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,820 : 47,121 = 47,121 : x
  2. Step 2: Convert to fraction form
    21,820/47,121 = 47,121/x
  3. Step 3: Cross multiply
    21,820x = 47,121 × 47,121
  4. Step 4: Simplify right side
    21,820x = 2,220,388,641
  5. Step 5: Solve for x
    x = 2,220,388,641/21,820
  6. Step 6: Final answer
    x = 101,759.33

Related Problems

Find third proportional to 10,910 and 23,560.50
Half scale
Find third proportional to 43,640 and 94,242
Double scale
Find third proportional to 21,822 and 47,125
Similar ratio
Find third proportional to 32,730 and 70,681.50
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.