Home / 211,800-296,245

Finding the Third Proportional to 211,800 and 296,245

Calculator

Solution

The third proportional to 211,800 and 296,245 is: 414,358.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,800 : 296,245 = 296,245 : x
  2. Step 2: Convert to fraction form
    211,800/296,245 = 296,245/x
  3. Step 3: Cross multiply
    211,800x = 296,245 × 296,245
  4. Step 4: Simplify right side
    211,800x = 87,761,100,025
  5. Step 5: Solve for x
    x = 87,761,100,025/211,800
  6. Step 6: Final answer
    x = 414,358.36

Related Problems

Find third proportional to 105,900 and 148,122.50
Half scale
Find third proportional to 423,600 and 592,490
Double scale
Find third proportional to 211,802 and 296,248
Similar ratio
Find third proportional to 317,700 and 444,367.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.