Home / 265.78-414.42

Finding the Third Proportional to 265.78 and 414.42

Calculator

Solution

The third proportional to 265.78 and 414.42 is: 646.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.78 : 414.42 = 414.42 : x
  2. Step 2: Convert to fraction form
    265.78/414.42 = 414.42/x
  3. Step 3: Cross multiply
    265.78x = 414.42 × 414.42
  4. Step 4: Simplify right side
    265.78x = 171,745.49
  5. Step 5: Solve for x
    x = 171,745.49/265.78
  6. Step 6: Final answer
    x = 646.19

Related Problems

Find third proportional to 132.89 and 207.21
Half scale
Find third proportional to 531.56 and 828.84
Double scale
Find third proportional to 268 and 418
Similar ratio
Find third proportional to 398.67 and 621.63
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.