Home / 189,216-414,720

Finding the Third Proportional to 189,216 and 414,720

Calculator

Solution

The third proportional to 189,216 and 414,720 is: 908,975.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,216 : 414,720 = 414,720 : x
  2. Step 2: Convert to fraction form
    189,216/414,720 = 414,720/x
  3. Step 3: Cross multiply
    189,216x = 414,720 × 414,720
  4. Step 4: Simplify right side
    189,216x = 171,992,678,400
  5. Step 5: Solve for x
    x = 171,992,678,400/189,216
  6. Step 6: Final answer
    x = 908,975.34

Related Problems

Find third proportional to 94,608 and 207,360
Half scale
Find third proportional to 378,432 and 829,440
Double scale
Find third proportional to 189,218 and 414,724
Similar ratio
Find third proportional to 283,824 and 622,080
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.