Home / 145-323

Finding the Third Proportional to 145 and 323

Calculator

Solution

The third proportional to 145 and 323 is: 719.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145 : 323 = 323 : x
  2. Step 2: Convert to fraction form
    145/323 = 323/x
  3. Step 3: Cross multiply
    145x = 323 × 323
  4. Step 4: Simplify right side
    145x = 104,329
  5. Step 5: Solve for x
    x = 104,329/145
  6. Step 6: Final answer
    x = 719.51

Related Problems

Find third proportional to 72.50 and 161.50
Half scale
Find third proportional to 290 and 646
Double scale
Find third proportional to 147 and 327
Similar ratio
Find third proportional to 217.50 and 484.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.