Home / 6,976-11,424

Finding the Third Proportional to 6,976 and 11,424

Calculator

Solution

The third proportional to 6,976 and 11,424 is: 18,708.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976 : 11,424 = 11,424 : x
  2. Step 2: Convert to fraction form
    6,976/11,424 = 11,424/x
  3. Step 3: Cross multiply
    6,976x = 11,424 × 11,424
  4. Step 4: Simplify right side
    6,976x = 130,507,776
  5. Step 5: Solve for x
    x = 130,507,776/6,976
  6. Step 6: Final answer
    x = 18,708.11

Related Problems

Find third proportional to 3,488 and 5,712
Half scale
Find third proportional to 13,952 and 22,848
Double scale
Find third proportional to 6,978 and 11,427
Similar ratio
Find third proportional to 10,464 and 17,136
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.