Home / 120.23-258.71

Finding the Third Proportional to 120.23 and 258.71

Calculator

Solution

The third proportional to 120.23 and 258.71 is: 556.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.23 : 258.71 = 258.71 : x
  2. Step 2: Convert to fraction form
    120.23/258.71 = 258.71/x
  3. Step 3: Cross multiply
    120.23x = 258.71 × 258.71
  4. Step 4: Simplify right side
    120.23x = 66,933.37
  5. Step 5: Solve for x
    x = 66,933.37/120.23
  6. Step 6: Final answer
    x = 556.69

Related Problems

Find third proportional to 60.12 and 129.36
Half scale
Find third proportional to 240.47 and 517.43
Double scale
Find third proportional to 122 and 263
Similar ratio
Find third proportional to 180.35 and 388.07
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.