Home / 286-405

Finding the Third Proportional to 286 and 405

Calculator

Solution

The third proportional to 286 and 405 is: 573.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    286 : 405 = 405 : x
  2. Step 2: Convert to fraction form
    286/405 = 405/x
  3. Step 3: Cross multiply
    286x = 405 × 405
  4. Step 4: Simplify right side
    286x = 164,025
  5. Step 5: Solve for x
    x = 164,025/286
  6. Step 6: Final answer
    x = 573.51

Related Problems

Find third proportional to 143 and 202.50
Half scale
Find third proportional to 572 and 810
Double scale
Find third proportional to 288 and 408
Similar ratio
Find third proportional to 429 and 607.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.