Home / 33,604-69,972

Finding the Third Proportional to 33,604 and 69,972

Calculator

Solution

The third proportional to 33,604 and 69,972 is: 145,699.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,604 : 69,972 = 69,972 : x
  2. Step 2: Convert to fraction form
    33,604/69,972 = 69,972/x
  3. Step 3: Cross multiply
    33,604x = 69,972 × 69,972
  4. Step 4: Simplify right side
    33,604x = 4,896,080,784
  5. Step 5: Solve for x
    x = 4,896,080,784/33,604
  6. Step 6: Final answer
    x = 145,699.34

Related Problems

Find third proportional to 16,802 and 34,986
Half scale
Find third proportional to 67,208 and 139,944
Double scale
Find third proportional to 33,606 and 69,976
Similar ratio
Find third proportional to 50,406 and 104,958
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.