Home / 31,668-66,912

Finding the Third Proportional to 31,668 and 66,912

Calculator

Solution

The third proportional to 31,668 and 66,912 is: 141,379.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,668 : 66,912 = 66,912 : x
  2. Step 2: Convert to fraction form
    31,668/66,912 = 66,912/x
  3. Step 3: Cross multiply
    31,668x = 66,912 × 66,912
  4. Step 4: Simplify right side
    31,668x = 4,477,215,744
  5. Step 5: Solve for x
    x = 4,477,215,744/31,668
  6. Step 6: Final answer
    x = 141,379.81

Related Problems

Find third proportional to 15,834 and 33,456
Half scale
Find third proportional to 63,336 and 133,824
Double scale
Find third proportional to 31,670 and 66,916
Similar ratio
Find third proportional to 47,502 and 100,368
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.