Home / 7,854-11,517

Finding the Third Proportional to 7,854 and 11,517

Calculator

Solution

The third proportional to 7,854 and 11,517 is: 16,888.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854 : 11,517 = 11,517 : x
  2. Step 2: Convert to fraction form
    7,854/11,517 = 11,517/x
  3. Step 3: Cross multiply
    7,854x = 11,517 × 11,517
  4. Step 4: Simplify right side
    7,854x = 132,641,289
  5. Step 5: Solve for x
    x = 132,641,289/7,854
  6. Step 6: Final answer
    x = 16,888.37

Related Problems

Find third proportional to 3,927 and 5,758.50
Half scale
Find third proportional to 15,708 and 23,034
Double scale
Find third proportional to 7,856 and 11,520
Similar ratio
Find third proportional to 11,781 and 17,275.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.