Home / 159-286

Finding the Third Proportional to 159 and 286

Calculator

Solution

The third proportional to 159 and 286 is: 514.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    159 : 286 = 286 : x
  2. Step 2: Convert to fraction form
    159/286 = 286/x
  3. Step 3: Cross multiply
    159x = 286 × 286
  4. Step 4: Simplify right side
    159x = 81,796
  5. Step 5: Solve for x
    x = 81,796/159
  6. Step 6: Final answer
    x = 514.44

Related Problems

Find third proportional to 79.50 and 143
Half scale
Find third proportional to 318 and 572
Double scale
Find third proportional to 161 and 290
Similar ratio
Find third proportional to 238.50 and 429
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.