Home / 21,000-32,778

Finding the Third Proportional to 21,000 and 32,778

Calculator

Solution

The third proportional to 21,000 and 32,778 is: 51,161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000 : 32,778 = 32,778 : x
  2. Step 2: Convert to fraction form
    21,000/32,778 = 32,778/x
  3. Step 3: Cross multiply
    21,000x = 32,778 × 32,778
  4. Step 4: Simplify right side
    21,000x = 1,074,397,284
  5. Step 5: Solve for x
    x = 1,074,397,284/21,000
  6. Step 6: Final answer
    x = 51,161.78

Related Problems

Find third proportional to 10,500 and 16,389
Half scale
Find third proportional to 42,000 and 65,556
Double scale
Find third proportional to 21,002 and 32,781
Similar ratio
Find third proportional to 31,500 and 49,167
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.