Home / 181-217

Finding the Third Proportional to 181 and 217

Calculator

Solution

The third proportional to 181 and 217 is: 260.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    181 : 217 = 217 : x
  2. Step 2: Convert to fraction form
    181/217 = 217/x
  3. Step 3: Cross multiply
    181x = 217 × 217
  4. Step 4: Simplify right side
    181x = 47,089
  5. Step 5: Solve for x
    x = 47,089/181
  6. Step 6: Final answer
    x = 260.16

Related Problems

Find third proportional to 90.50 and 108.50
Half scale
Find third proportional to 362 and 434
Double scale
Find third proportional to 183 and 219
Similar ratio
Find third proportional to 271.50 and 325.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.