Home / 178-213

Finding the Third Proportional to 178 and 213

Calculator

Solution

The third proportional to 178 and 213 is: 254.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    178 : 213 = 213 : x
  2. Step 2: Convert to fraction form
    178/213 = 213/x
  3. Step 3: Cross multiply
    178x = 213 × 213
  4. Step 4: Simplify right side
    178x = 45,369
  5. Step 5: Solve for x
    x = 45,369/178
  6. Step 6: Final answer
    x = 254.88

Related Problems

Find third proportional to 89 and 106.50
Half scale
Find third proportional to 356 and 426
Double scale
Find third proportional to 180 and 215
Similar ratio
Find third proportional to 267 and 319.50
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.