Home / 51.50-121.06

Finding the Third Proportional to 51.50 and 121.06

Calculator

Solution

The third proportional to 51.50 and 121.06 is: 284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.50 : 121.06 = 121.06 : x
  2. Step 2: Convert to fraction form
    51.50/121.06 = 121.06/x
  3. Step 3: Cross multiply
    51.50x = 121.06 × 121.06
  4. Step 4: Simplify right side
    51.50x = 14,656.13
  5. Step 5: Solve for x
    x = 14,656.13/51.50
  6. Step 6: Final answer
    x = 284.59

Related Problems

Find third proportional to 25.75 and 60.53
Half scale
Find third proportional to 103 and 242.13
Double scale
Find third proportional to 54 and 126
Similar ratio
Find third proportional to 77.25 and 181.59
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.