Home / 160.78-258.09

Finding the Third Proportional to 160.78 and 258.09

Calculator

Solution

The third proportional to 160.78 and 258.09 is: 414.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.78 : 258.09 = 258.09 : x
  2. Step 2: Convert to fraction form
    160.78/258.09 = 258.09/x
  3. Step 3: Cross multiply
    160.78x = 258.09 × 258.09
  4. Step 4: Simplify right side
    160.78x = 66,612.38
  5. Step 5: Solve for x
    x = 66,612.38/160.78
  6. Step 6: Final answer
    x = 414.30

Related Problems

Find third proportional to 80.39 and 129.05
Half scale
Find third proportional to 321.56 and 516.19
Double scale
Find third proportional to 163 and 261
Similar ratio
Find third proportional to 241.17 and 387.14
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.