Home / 7,838-16,324

Finding the Third Proportional to 7,838 and 16,324

Calculator

Solution

The third proportional to 7,838 and 16,324 is: 33,997.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838 : 16,324 = 16,324 : x
  2. Step 2: Convert to fraction form
    7,838/16,324 = 16,324/x
  3. Step 3: Cross multiply
    7,838x = 16,324 × 16,324
  4. Step 4: Simplify right side
    7,838x = 266,472,976
  5. Step 5: Solve for x
    x = 266,472,976/7,838
  6. Step 6: Final answer
    x = 33,997.57

Related Problems

Find third proportional to 3,919 and 8,162
Half scale
Find third proportional to 15,676 and 32,648
Double scale
Find third proportional to 7,840 and 16,328
Similar ratio
Find third proportional to 11,757 and 24,486
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.