Home / 105.75-231.75

Finding the Third Proportional to 105.75 and 231.75

Calculator

Solution

The third proportional to 105.75 and 231.75 is: 507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.75 : 231.75 = 231.75 : x
  2. Step 2: Convert to fraction form
    105.75/231.75 = 231.75/x
  3. Step 3: Cross multiply
    105.75x = 231.75 × 231.75
  4. Step 4: Simplify right side
    105.75x = 53,708.06
  5. Step 5: Solve for x
    x = 53,708.06/105.75
  6. Step 6: Final answer
    x = 507.88

Related Problems

Find third proportional to 52.88 and 115.88
Half scale
Find third proportional to 211.50 and 463.50
Double scale
Find third proportional to 108 and 236
Similar ratio
Find third proportional to 158.63 and 347.63
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.