Home / 96,706-213,034

Finding the Third Proportional to 96,706 and 213,034

Calculator

Solution

The third proportional to 96,706 and 213,034 is: 469,293.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,706 : 213,034 = 213,034 : x
  2. Step 2: Convert to fraction form
    96,706/213,034 = 213,034/x
  3. Step 3: Cross multiply
    96,706x = 213,034 × 213,034
  4. Step 4: Simplify right side
    96,706x = 45,383,485,156
  5. Step 5: Solve for x
    x = 45,383,485,156/96,706
  6. Step 6: Final answer
    x = 469,293.38

Related Problems

Find third proportional to 48,353 and 106,517
Half scale
Find third proportional to 193,412 and 426,068
Double scale
Find third proportional to 96,708 and 213,038
Similar ratio
Find third proportional to 145,059 and 319,551
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.