Home / 83,682-128,195

Finding the Third Proportional to 83,682 and 128,195

Calculator

Solution

The third proportional to 83,682 and 128,195 is: 196,385.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,682 : 128,195 = 128,195 : x
  2. Step 2: Convert to fraction form
    83,682/128,195 = 128,195/x
  3. Step 3: Cross multiply
    83,682x = 128,195 × 128,195
  4. Step 4: Simplify right side
    83,682x = 16,433,958,025
  5. Step 5: Solve for x
    x = 16,433,958,025/83,682
  6. Step 6: Final answer
    x = 196,385.82

Related Problems

Find third proportional to 41,841 and 64,097.50
Half scale
Find third proportional to 167,364 and 256,390
Double scale
Find third proportional to 83,684 and 128,198
Similar ratio
Find third proportional to 125,523 and 192,292.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.