Home / 7,838-11,796

Finding the Third Proportional to 7,838 and 11,796

Calculator

Solution

The third proportional to 7,838 and 11,796 is: 17,752.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838 : 11,796 = 11,796 : x
  2. Step 2: Convert to fraction form
    7,838/11,796 = 11,796/x
  3. Step 3: Cross multiply
    7,838x = 11,796 × 11,796
  4. Step 4: Simplify right side
    7,838x = 139,145,616
  5. Step 5: Solve for x
    x = 139,145,616/7,838
  6. Step 6: Final answer
    x = 17,752.69

Related Problems

Find third proportional to 3,919 and 5,898
Half scale
Find third proportional to 15,676 and 23,592
Double scale
Find third proportional to 7,840 and 11,799
Similar ratio
Find third proportional to 11,757 and 17,694
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.