Home / 32,969-52,451

Finding the Third Proportional to 32,969 and 52,451

Calculator

Solution

The third proportional to 32,969 and 52,451 is: 83,445.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,969 : 52,451 = 52,451 : x
  2. Step 2: Convert to fraction form
    32,969/52,451 = 52,451/x
  3. Step 3: Cross multiply
    32,969x = 52,451 × 52,451
  4. Step 4: Simplify right side
    32,969x = 2,751,107,401
  5. Step 5: Solve for x
    x = 2,751,107,401/32,969
  6. Step 6: Final answer
    x = 83,445.28

Related Problems

Find third proportional to 16,484.50 and 26,225.50
Half scale
Find third proportional to 65,938 and 104,902
Double scale
Find third proportional to 32,971 and 52,454
Similar ratio
Find third proportional to 49,453.50 and 78,676.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.