Home / 33,467-69,708

Finding the Third Proportional to 33,467 and 69,708

Calculator

Solution

The third proportional to 33,467 and 69,708 is: 145,193.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,467 : 69,708 = 69,708 : x
  2. Step 2: Convert to fraction form
    33,467/69,708 = 69,708/x
  3. Step 3: Cross multiply
    33,467x = 69,708 × 69,708
  4. Step 4: Simplify right side
    33,467x = 4,859,205,264
  5. Step 5: Solve for x
    x = 4,859,205,264/33,467
  6. Step 6: Final answer
    x = 145,193.93

Related Problems

Find third proportional to 16,733.50 and 34,854
Half scale
Find third proportional to 66,934 and 139,416
Double scale
Find third proportional to 33,469 and 69,712
Similar ratio
Find third proportional to 50,200.50 and 104,562
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.