Home / 123.75-180.75

Finding the Third Proportional to 123.75 and 180.75

Calculator

Solution

The third proportional to 123.75 and 180.75 is: 264.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.75 : 180.75 = 180.75 : x
  2. Step 2: Convert to fraction form
    123.75/180.75 = 180.75/x
  3. Step 3: Cross multiply
    123.75x = 180.75 × 180.75
  4. Step 4: Simplify right side
    123.75x = 32,670.56
  5. Step 5: Solve for x
    x = 32,670.56/123.75
  6. Step 6: Final answer
    x = 264.00

Related Problems

Find third proportional to 61.88 and 90.38
Half scale
Find third proportional to 247.50 and 361.50
Double scale
Find third proportional to 126 and 184
Similar ratio
Find third proportional to 185.63 and 271.13
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.