Home / 327.38-463.22

Finding the Third Proportional to 327.38 and 463.22

Calculator

Solution

The third proportional to 327.38 and 463.22 is: 655.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.38 : 463.22 = 463.22 : x
  2. Step 2: Convert to fraction form
    327.38/463.22 = 463.22/x
  3. Step 3: Cross multiply
    327.38x = 463.22 × 463.22
  4. Step 4: Simplify right side
    327.38x = 214,571.61
  5. Step 5: Solve for x
    x = 214,571.61/327.38
  6. Step 6: Final answer
    x = 655.43

Related Problems

Find third proportional to 163.69 and 231.61
Half scale
Find third proportional to 654.75 and 926.44
Double scale
Find third proportional to 329 and 466
Similar ratio
Find third proportional to 491.06 and 694.83
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.