Home / 323.21-456.97

Finding the Third Proportional to 323.21 and 456.97

Calculator

Solution

The third proportional to 323.21 and 456.97 is: 646.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.21 : 456.97 = 456.97 : x
  2. Step 2: Convert to fraction form
    323.21/456.97 = 456.97/x
  3. Step 3: Cross multiply
    323.21x = 456.97 × 456.97
  4. Step 4: Simplify right side
    323.21x = 208,821.33
  5. Step 5: Solve for x
    x = 208,821.33/323.21
  6. Step 6: Final answer
    x = 646.09

Related Problems

Find third proportional to 161.60 and 228.48
Half scale
Find third proportional to 646.42 and 913.94
Double scale
Find third proportional to 325 and 460
Similar ratio
Find third proportional to 484.81 and 685.45
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.