Home / 71,760-156,912

Finding the Third Proportional to 71,760 and 156,912

Calculator

Solution

The third proportional to 71,760 and 156,912 is: 343,107.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,760 : 156,912 = 156,912 : x
  2. Step 2: Convert to fraction form
    71,760/156,912 = 156,912/x
  3. Step 3: Cross multiply
    71,760x = 156,912 × 156,912
  4. Step 4: Simplify right side
    71,760x = 24,621,375,744
  5. Step 5: Solve for x
    x = 24,621,375,744/71,760
  6. Step 6: Final answer
    x = 343,107.24

Related Problems

Find third proportional to 35,880 and 78,456
Half scale
Find third proportional to 143,520 and 313,824
Double scale
Find third proportional to 71,762 and 156,916
Similar ratio
Find third proportional to 107,640 and 235,368
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.