Home / 3,840-9,424

Finding the Third Proportional to 3,840 and 9,424

Calculator

Solution

The third proportional to 3,840 and 9,424 is: 23,128.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840 : 9,424 = 9,424 : x
  2. Step 2: Convert to fraction form
    3,840/9,424 = 9,424/x
  3. Step 3: Cross multiply
    3,840x = 9,424 × 9,424
  4. Step 4: Simplify right side
    3,840x = 88,811,776
  5. Step 5: Solve for x
    x = 88,811,776/3,840
  6. Step 6: Final answer
    x = 23,128.07

Related Problems

Find third proportional to 1,920 and 4,712
Half scale
Find third proportional to 7,680 and 18,848
Double scale
Find third proportional to 3,842 and 9,429
Similar ratio
Find third proportional to 5,760 and 14,136
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.