Home / 11,964-19,854

Finding the Third Proportional to 11,964 and 19,854

Calculator

Solution

The third proportional to 11,964 and 19,854 is: 32,947.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964 : 19,854 = 19,854 : x
  2. Step 2: Convert to fraction form
    11,964/19,854 = 19,854/x
  3. Step 3: Cross multiply
    11,964x = 19,854 × 19,854
  4. Step 4: Simplify right side
    11,964x = 394,181,316
  5. Step 5: Solve for x
    x = 394,181,316/11,964
  6. Step 6: Final answer
    x = 32,947.28

Related Problems

Find third proportional to 5,982 and 9,927
Half scale
Find third proportional to 23,928 and 39,708
Double scale
Find third proportional to 11,966 and 19,857
Similar ratio
Find third proportional to 17,946 and 29,781
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.