Home / 7,786-13,796

Finding the Third Proportional to 7,786 and 13,796

Calculator

Solution

The third proportional to 7,786 and 13,796 is: 24,445.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786 : 13,796 = 13,796 : x
  2. Step 2: Convert to fraction form
    7,786/13,796 = 13,796/x
  3. Step 3: Cross multiply
    7,786x = 13,796 × 13,796
  4. Step 4: Simplify right side
    7,786x = 190,329,616
  5. Step 5: Solve for x
    x = 190,329,616/7,786
  6. Step 6: Final answer
    x = 24,445.11

Related Problems

Find third proportional to 3,893 and 6,898
Half scale
Find third proportional to 15,572 and 27,592
Double scale
Find third proportional to 7,788 and 13,800
Similar ratio
Find third proportional to 11,679 and 20,694
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.