Home / 33,302-69,683

Finding the Third Proportional to 33,302 and 69,683

Calculator

Solution

The third proportional to 33,302 and 69,683 is: 145,808.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,302 : 69,683 = 69,683 : x
  2. Step 2: Convert to fraction form
    33,302/69,683 = 69,683/x
  3. Step 3: Cross multiply
    33,302x = 69,683 × 69,683
  4. Step 4: Simplify right side
    33,302x = 4,855,720,489
  5. Step 5: Solve for x
    x = 4,855,720,489/33,302
  6. Step 6: Final answer
    x = 145,808.67

Related Problems

Find third proportional to 16,651 and 34,841.50
Half scale
Find third proportional to 66,604 and 139,366
Double scale
Find third proportional to 33,304 and 69,687
Similar ratio
Find third proportional to 49,953 and 104,524.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.