Home / 365-426

Finding the Third Proportional to 365 and 426

Calculator

Solution

The third proportional to 365 and 426 is: 497.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    365 : 426 = 426 : x
  2. Step 2: Convert to fraction form
    365/426 = 426/x
  3. Step 3: Cross multiply
    365x = 426 × 426
  4. Step 4: Simplify right side
    365x = 181,476
  5. Step 5: Solve for x
    x = 181,476/365
  6. Step 6: Final answer
    x = 497.19

Related Problems

Find third proportional to 182.50 and 213
Half scale
Find third proportional to 730 and 852
Double scale
Find third proportional to 367 and 428
Similar ratio
Find third proportional to 547.50 and 639
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.