Home / 282-406

Finding the Third Proportional to 282 and 406

Calculator

Solution

The third proportional to 282 and 406 is: 584.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    282 : 406 = 406 : x
  2. Step 2: Convert to fraction form
    282/406 = 406/x
  3. Step 3: Cross multiply
    282x = 406 × 406
  4. Step 4: Simplify right side
    282x = 164,836
  5. Step 5: Solve for x
    x = 164,836/282
  6. Step 6: Final answer
    x = 584.52

Related Problems

Find third proportional to 141 and 203
Half scale
Find third proportional to 564 and 812
Double scale
Find third proportional to 284 and 409
Similar ratio
Find third proportional to 423 and 609
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.