Home / 7,800-11,164

Finding the Third Proportional to 7,800 and 11,164

Calculator

Solution

The third proportional to 7,800 and 11,164 is: 15,978.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800 : 11,164 = 11,164 : x
  2. Step 2: Convert to fraction form
    7,800/11,164 = 11,164/x
  3. Step 3: Cross multiply
    7,800x = 11,164 × 11,164
  4. Step 4: Simplify right side
    7,800x = 124,634,896
  5. Step 5: Solve for x
    x = 124,634,896/7,800
  6. Step 6: Final answer
    x = 15,978.83

Related Problems

Find third proportional to 3,900 and 5,582
Half scale
Find third proportional to 15,600 and 22,328
Double scale
Find third proportional to 7,802 and 11,167
Similar ratio
Find third proportional to 11,700 and 16,746
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.