Home / 233.50-256.75

Finding the Third Proportional to 233.50 and 256.75

Calculator

Solution

The third proportional to 233.50 and 256.75 is: 282.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.50 : 256.75 = 256.75 : x
  2. Step 2: Convert to fraction form
    233.50/256.75 = 256.75/x
  3. Step 3: Cross multiply
    233.50x = 256.75 × 256.75
  4. Step 4: Simplify right side
    233.50x = 65,920.56
  5. Step 5: Solve for x
    x = 65,920.56/233.50
  6. Step 6: Final answer
    x = 282.32

Related Problems

Find third proportional to 116.75 and 128.38
Half scale
Find third proportional to 467 and 513.50
Double scale
Find third proportional to 236 and 259
Similar ratio
Find third proportional to 350.25 and 385.13
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.