Home / 4,000-5,646

Finding the Third Proportional to 4,000 and 5,646

Calculator

Solution

The third proportional to 4,000 and 5,646 is: 7,969.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000 : 5,646 = 5,646 : x
  2. Step 2: Convert to fraction form
    4,000/5,646 = 5,646/x
  3. Step 3: Cross multiply
    4,000x = 5,646 × 5,646
  4. Step 4: Simplify right side
    4,000x = 31,877,316
  5. Step 5: Solve for x
    x = 31,877,316/4,000
  6. Step 6: Final answer
    x = 7,969.33

Related Problems

Find third proportional to 2,000 and 2,823
Half scale
Find third proportional to 8,000 and 11,292
Double scale
Find third proportional to 4,002 and 5,649
Similar ratio
Find third proportional to 6,000 and 8,469
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.