Home / 2,032-4,696

Finding the Third Proportional to 2,032 and 4,696

Calculator

Solution

The third proportional to 2,032 and 4,696 is: 10,852.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032 : 4,696 = 4,696 : x
  2. Step 2: Convert to fraction form
    2,032/4,696 = 4,696/x
  3. Step 3: Cross multiply
    2,032x = 4,696 × 4,696
  4. Step 4: Simplify right side
    2,032x = 22,052,416
  5. Step 5: Solve for x
    x = 22,052,416/2,032
  6. Step 6: Final answer
    x = 10,852.57

Related Problems

Find third proportional to 1,016 and 2,348
Half scale
Find third proportional to 4,064 and 9,392
Double scale
Find third proportional to 2,034 and 4,701
Similar ratio
Find third proportional to 3,048 and 7,044
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.