Home / 323-502

Finding the Third Proportional to 323 and 502

Calculator

Solution

The third proportional to 323 and 502 is: 780.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    323 : 502 = 502 : x
  2. Step 2: Convert to fraction form
    323/502 = 502/x
  3. Step 3: Cross multiply
    323x = 502 × 502
  4. Step 4: Simplify right side
    323x = 252,004
  5. Step 5: Solve for x
    x = 252,004/323
  6. Step 6: Final answer
    x = 780.20

Related Problems

Find third proportional to 161.50 and 251
Half scale
Find third proportional to 646 and 1,004
Double scale
Find third proportional to 325 and 505
Similar ratio
Find third proportional to 484.50 and 753
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.