Home / 354.75-402.75

Finding the Third Proportional to 354.75 and 402.75

Calculator

Solution

The third proportional to 354.75 and 402.75 is: 457.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.75 : 402.75 = 402.75 : x
  2. Step 2: Convert to fraction form
    354.75/402.75 = 402.75/x
  3. Step 3: Cross multiply
    354.75x = 402.75 × 402.75
  4. Step 4: Simplify right side
    354.75x = 162,207.56
  5. Step 5: Solve for x
    x = 162,207.56/354.75
  6. Step 6: Final answer
    x = 457.24

Related Problems

Find third proportional to 177.38 and 201.38
Half scale
Find third proportional to 709.50 and 805.50
Double scale
Find third proportional to 357 and 405
Similar ratio
Find third proportional to 532.13 and 604.13
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.