Home / 114-257.25

Finding the Third Proportional to 114 and 257.25

Calculator

Solution

The third proportional to 114 and 257.25 is: 580.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114 : 257.25 = 257.25 : x
  2. Step 2: Convert to fraction form
    114/257.25 = 257.25/x
  3. Step 3: Cross multiply
    114x = 257.25 × 257.25
  4. Step 4: Simplify right side
    114x = 66,177.56
  5. Step 5: Solve for x
    x = 66,177.56/114
  6. Step 6: Final answer
    x = 580.50

Related Problems

Find third proportional to 57 and 128.63
Half scale
Find third proportional to 228 and 514.50
Double scale
Find third proportional to 116 and 262
Similar ratio
Find third proportional to 171 and 385.88
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.