Home / 151-324

Finding the Third Proportional to 151 and 324

Calculator

Solution

The third proportional to 151 and 324 is: 695.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    151 : 324 = 324 : x
  2. Step 2: Convert to fraction form
    151/324 = 324/x
  3. Step 3: Cross multiply
    151x = 324 × 324
  4. Step 4: Simplify right side
    151x = 104,976
  5. Step 5: Solve for x
    x = 104,976/151
  6. Step 6: Final answer
    x = 695.21

Related Problems

Find third proportional to 75.50 and 162
Half scale
Find third proportional to 302 and 648
Double scale
Find third proportional to 153 and 328
Similar ratio
Find third proportional to 226.50 and 486
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.