Home / 113-227.50

Finding the Third Proportional to 113 and 227.50

Calculator

Solution

The third proportional to 113 and 227.50 is: 458.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    113 : 227.50 = 227.50 : x
  2. Step 2: Convert to fraction form
    113/227.50 = 227.50/x
  3. Step 3: Cross multiply
    113x = 227.50 × 227.50
  4. Step 4: Simplify right side
    113x = 51,756.25
  5. Step 5: Solve for x
    x = 51,756.25/113
  6. Step 6: Final answer
    x = 458.02

Related Problems

Find third proportional to 56.50 and 113.75
Half scale
Find third proportional to 226 and 455
Double scale
Find third proportional to 115 and 232
Similar ratio
Find third proportional to 169.50 and 341.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.