Home / 7,764-11,478

Finding the Third Proportional to 7,764 and 11,478

Calculator

Solution

The third proportional to 7,764 and 11,478 is: 16,968.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764 : 11,478 = 11,478 : x
  2. Step 2: Convert to fraction form
    7,764/11,478 = 11,478/x
  3. Step 3: Cross multiply
    7,764x = 11,478 × 11,478
  4. Step 4: Simplify right side
    7,764x = 131,744,484
  5. Step 5: Solve for x
    x = 131,744,484/7,764
  6. Step 6: Final answer
    x = 16,968.64

Related Problems

Find third proportional to 3,882 and 5,739
Half scale
Find third proportional to 15,528 and 22,956
Double scale
Find third proportional to 7,766 and 11,481
Similar ratio
Find third proportional to 11,646 and 17,217
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.