Home / 7,776-11,978

Finding the Third Proportional to 7,776 and 11,978

Calculator

Solution

The third proportional to 7,776 and 11,978 is: 18,450.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776 : 11,978 = 11,978 : x
  2. Step 2: Convert to fraction form
    7,776/11,978 = 11,978/x
  3. Step 3: Cross multiply
    7,776x = 11,978 × 11,978
  4. Step 4: Simplify right side
    7,776x = 143,472,484
  5. Step 5: Solve for x
    x = 143,472,484/7,776
  6. Step 6: Final answer
    x = 18,450.68

Related Problems

Find third proportional to 3,888 and 5,989
Half scale
Find third proportional to 15,552 and 23,956
Double scale
Find third proportional to 7,778 and 11,981
Similar ratio
Find third proportional to 11,664 and 17,967
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.