Home / 228-382.50

Finding the Third Proportional to 228 and 382.50

Calculator

Solution

The third proportional to 228 and 382.50 is: 641.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    228 : 382.50 = 382.50 : x
  2. Step 2: Convert to fraction form
    228/382.50 = 382.50/x
  3. Step 3: Cross multiply
    228x = 382.50 × 382.50
  4. Step 4: Simplify right side
    228x = 146,306.25
  5. Step 5: Solve for x
    x = 146,306.25/228
  6. Step 6: Final answer
    x = 641.69

Related Problems

Find third proportional to 114 and 191.25
Half scale
Find third proportional to 456 and 765
Double scale
Find third proportional to 230 and 386
Similar ratio
Find third proportional to 342 and 573.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.