Home / 2,104-4,565

Finding the Third Proportional to 2,104 and 4,565

Calculator

Solution

The third proportional to 2,104 and 4,565 is: 9,904.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104 : 4,565 = 4,565 : x
  2. Step 2: Convert to fraction form
    2,104/4,565 = 4,565/x
  3. Step 3: Cross multiply
    2,104x = 4,565 × 4,565
  4. Step 4: Simplify right side
    2,104x = 20,839,225
  5. Step 5: Solve for x
    x = 20,839,225/2,104
  6. Step 6: Final answer
    x = 9,904.57

Related Problems

Find third proportional to 1,052 and 2,282.50
Half scale
Find third proportional to 4,208 and 9,130
Double scale
Find third proportional to 2,106 and 4,569
Similar ratio
Find third proportional to 3,156 and 6,847.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.