Home / 288.25-406

Finding the Third Proportional to 288.25 and 406

Calculator

Solution

The third proportional to 288.25 and 406 is: 571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.25 : 406 = 406 : x
  2. Step 2: Convert to fraction form
    288.25/406 = 406/x
  3. Step 3: Cross multiply
    288.25x = 406 × 406
  4. Step 4: Simplify right side
    288.25x = 164,836
  5. Step 5: Solve for x
    x = 164,836/288.25
  6. Step 6: Final answer
    x = 571.85

Related Problems

Find third proportional to 144.13 and 203
Half scale
Find third proportional to 576.50 and 812
Double scale
Find third proportional to 290 and 409
Similar ratio
Find third proportional to 432.38 and 609
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.