Home / 402.75-826.75

Finding the Third Proportional to 402.75 and 826.75

Calculator

Solution

The third proportional to 402.75 and 826.75 is: 1,697.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.75 : 826.75 = 826.75 : x
  2. Step 2: Convert to fraction form
    402.75/826.75 = 826.75/x
  3. Step 3: Cross multiply
    402.75x = 826.75 × 826.75
  4. Step 4: Simplify right side
    402.75x = 683,515.56
  5. Step 5: Solve for x
    x = 683,515.56/402.75
  6. Step 6: Final answer
    x = 1,697.12

Related Problems

Find third proportional to 201.38 and 413.38
Half scale
Find third proportional to 805.50 and 1,653.50
Double scale
Find third proportional to 405 and 831
Similar ratio
Find third proportional to 604.13 and 1,240.13
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.