Home / 114.75-285.75

Finding the Third Proportional to 114.75 and 285.75

Calculator

Solution

The third proportional to 114.75 and 285.75 is: 711.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.75 : 285.75 = 285.75 : x
  2. Step 2: Convert to fraction form
    114.75/285.75 = 285.75/x
  3. Step 3: Cross multiply
    114.75x = 285.75 × 285.75
  4. Step 4: Simplify right side
    114.75x = 81,653.06
  5. Step 5: Solve for x
    x = 81,653.06/114.75
  6. Step 6: Final answer
    x = 711.57

Related Problems

Find third proportional to 57.38 and 142.88
Half scale
Find third proportional to 229.50 and 571.50
Double scale
Find third proportional to 117 and 291
Similar ratio
Find third proportional to 172.13 and 428.63
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.