Home / 213-374

Finding the Third Proportional to 213 and 374

Calculator

Solution

The third proportional to 213 and 374 is: 656.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213 : 374 = 374 : x
  2. Step 2: Convert to fraction form
    213/374 = 374/x
  3. Step 3: Cross multiply
    213x = 374 × 374
  4. Step 4: Simplify right side
    213x = 139,876
  5. Step 5: Solve for x
    x = 139,876/213
  6. Step 6: Final answer
    x = 656.69

Related Problems

Find third proportional to 106.50 and 187
Half scale
Find third proportional to 426 and 748
Double scale
Find third proportional to 215 and 378
Similar ratio
Find third proportional to 319.50 and 561
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.