Home / 23,770-33,231

Finding the Third Proportional to 23,770 and 33,231

Calculator

Solution

The third proportional to 23,770 and 33,231 is: 46,457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,770 : 33,231 = 33,231 : x
  2. Step 2: Convert to fraction form
    23,770/33,231 = 33,231/x
  3. Step 3: Cross multiply
    23,770x = 33,231 × 33,231
  4. Step 4: Simplify right side
    23,770x = 1,104,299,361
  5. Step 5: Solve for x
    x = 1,104,299,361/23,770
  6. Step 6: Final answer
    x = 46,457.69

Related Problems

Find third proportional to 11,885 and 16,615.50
Half scale
Find third proportional to 47,540 and 66,462
Double scale
Find third proportional to 23,772 and 33,234
Similar ratio
Find third proportional to 35,655 and 49,846.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.