Home / 11,412-15,732

Finding the Third Proportional to 11,412 and 15,732

Calculator

Solution

The third proportional to 11,412 and 15,732 is: 21,687.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412 : 15,732 = 15,732 : x
  2. Step 2: Convert to fraction form
    11,412/15,732 = 15,732/x
  3. Step 3: Cross multiply
    11,412x = 15,732 × 15,732
  4. Step 4: Simplify right side
    11,412x = 247,495,824
  5. Step 5: Solve for x
    x = 247,495,824/11,412
  6. Step 6: Final answer
    x = 21,687.33

Related Problems

Find third proportional to 5,706 and 7,866
Half scale
Find third proportional to 22,824 and 31,464
Double scale
Find third proportional to 11,414 and 15,735
Similar ratio
Find third proportional to 17,118 and 23,598
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.