Home / 11,840-13,424

Finding the Third Proportional to 11,840 and 13,424

Calculator

Solution

The third proportional to 11,840 and 13,424 is: 15,219.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840 : 13,424 = 13,424 : x
  2. Step 2: Convert to fraction form
    11,840/13,424 = 13,424/x
  3. Step 3: Cross multiply
    11,840x = 13,424 × 13,424
  4. Step 4: Simplify right side
    11,840x = 180,203,776
  5. Step 5: Solve for x
    x = 180,203,776/11,840
  6. Step 6: Final answer
    x = 15,219.91

Related Problems

Find third proportional to 5,920 and 6,712
Half scale
Find third proportional to 23,680 and 26,848
Double scale
Find third proportional to 11,842 and 13,426
Similar ratio
Find third proportional to 17,760 and 20,136
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.