Home / 21,964-48,301

Finding the Third Proportional to 21,964 and 48,301

Calculator

Solution

The third proportional to 21,964 and 48,301 is: 106,218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,964 : 48,301 = 48,301 : x
  2. Step 2: Convert to fraction form
    21,964/48,301 = 48,301/x
  3. Step 3: Cross multiply
    21,964x = 48,301 × 48,301
  4. Step 4: Simplify right side
    21,964x = 2,332,986,601
  5. Step 5: Solve for x
    x = 2,332,986,601/21,964
  6. Step 6: Final answer
    x = 106,218.66

Related Problems

Find third proportional to 10,982 and 24,150.50
Half scale
Find third proportional to 43,928 and 96,602
Double scale
Find third proportional to 21,966 and 48,305
Similar ratio
Find third proportional to 32,946 and 72,451.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.