Home / 312-393

Finding the Third Proportional to 312 and 393

Calculator

Solution

The third proportional to 312 and 393 is: 495.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    312 : 393 = 393 : x
  2. Step 2: Convert to fraction form
    312/393 = 393/x
  3. Step 3: Cross multiply
    312x = 393 × 393
  4. Step 4: Simplify right side
    312x = 154,449
  5. Step 5: Solve for x
    x = 154,449/312
  6. Step 6: Final answer
    x = 495.03

Related Problems

Find third proportional to 156 and 196.50
Half scale
Find third proportional to 624 and 786
Double scale
Find third proportional to 314 and 396
Similar ratio
Find third proportional to 468 and 589.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.