Home / 327-645

Finding the Third Proportional to 327 and 645

Calculator

Solution

The third proportional to 327 and 645 is: 1,272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    327 : 645 = 645 : x
  2. Step 2: Convert to fraction form
    327/645 = 645/x
  3. Step 3: Cross multiply
    327x = 645 × 645
  4. Step 4: Simplify right side
    327x = 416,025
  5. Step 5: Solve for x
    x = 416,025/327
  6. Step 6: Final answer
    x = 1,272.25

Related Problems

Find third proportional to 163.50 and 322.50
Half scale
Find third proportional to 654 and 1,290
Double scale
Find third proportional to 329 and 649
Similar ratio
Find third proportional to 490.50 and 967.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.