Home / 159-243

Finding the Third Proportional to 159 and 243

Calculator

Solution

The third proportional to 159 and 243 is: 371.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    159 : 243 = 243 : x
  2. Step 2: Convert to fraction form
    159/243 = 243/x
  3. Step 3: Cross multiply
    159x = 243 × 243
  4. Step 4: Simplify right side
    159x = 59,049
  5. Step 5: Solve for x
    x = 59,049/159
  6. Step 6: Final answer
    x = 371.38

Related Problems

Find third proportional to 79.50 and 121.50
Half scale
Find third proportional to 318 and 486
Double scale
Find third proportional to 161 and 246
Similar ratio
Find third proportional to 238.50 and 364.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.