Home / 9,820-20,964

Finding the Third Proportional to 9,820 and 20,964

Calculator

Solution

The third proportional to 9,820 and 20,964 is: 44,754.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820 : 20,964 = 20,964 : x
  2. Step 2: Convert to fraction form
    9,820/20,964 = 20,964/x
  3. Step 3: Cross multiply
    9,820x = 20,964 × 20,964
  4. Step 4: Simplify right side
    9,820x = 439,489,296
  5. Step 5: Solve for x
    x = 439,489,296/9,820
  6. Step 6: Final answer
    x = 44,754.51

Related Problems

Find third proportional to 4,910 and 10,482
Half scale
Find third proportional to 19,640 and 41,928
Double scale
Find third proportional to 9,822 and 20,968
Similar ratio
Find third proportional to 14,730 and 31,446
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.