Home / 178-226.50

Finding the Third Proportional to 178 and 226.50

Calculator

Solution

The third proportional to 178 and 226.50 is: 288.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178 : 226.50 = 226.50 : x
  2. Step 2: Convert to fraction form
    178/226.50 = 226.50/x
  3. Step 3: Cross multiply
    178x = 226.50 × 226.50
  4. Step 4: Simplify right side
    178x = 51,302.25
  5. Step 5: Solve for x
    x = 51,302.25/178
  6. Step 6: Final answer
    x = 288.21

Related Problems

Find third proportional to 89 and 113.25
Half scale
Find third proportional to 356 and 453
Double scale
Find third proportional to 180 and 229
Similar ratio
Find third proportional to 267 and 339.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.