Home / 30,684-66,912

Finding the Third Proportional to 30,684 and 66,912

Calculator

Solution

The third proportional to 30,684 and 66,912 is: 145,913.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,684 : 66,912 = 66,912 : x
  2. Step 2: Convert to fraction form
    30,684/66,912 = 66,912/x
  3. Step 3: Cross multiply
    30,684x = 66,912 × 66,912
  4. Step 4: Simplify right side
    30,684x = 4,477,215,744
  5. Step 5: Solve for x
    x = 4,477,215,744/30,684
  6. Step 6: Final answer
    x = 145,913.69

Related Problems

Find third proportional to 15,342 and 33,456
Half scale
Find third proportional to 61,368 and 133,824
Double scale
Find third proportional to 30,686 and 66,916
Similar ratio
Find third proportional to 46,026 and 100,368
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.