Home / 24,314-32,824

Finding the Third Proportional to 24,314 and 32,824

Calculator

Solution

The third proportional to 24,314 and 32,824 is: 44,312.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,314 : 32,824 = 32,824 : x
  2. Step 2: Convert to fraction form
    24,314/32,824 = 32,824/x
  3. Step 3: Cross multiply
    24,314x = 32,824 × 32,824
  4. Step 4: Simplify right side
    24,314x = 1,077,414,976
  5. Step 5: Solve for x
    x = 1,077,414,976/24,314
  6. Step 6: Final answer
    x = 44,312.54

Related Problems

Find third proportional to 12,157 and 16,412
Half scale
Find third proportional to 48,628 and 65,648
Double scale
Find third proportional to 24,316 and 32,827
Similar ratio
Find third proportional to 36,471 and 49,236
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.