Home / 286-415

Finding the Third Proportional to 286 and 415

Calculator

Solution

The third proportional to 286 and 415 is: 602.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    286 : 415 = 415 : x
  2. Step 2: Convert to fraction form
    286/415 = 415/x
  3. Step 3: Cross multiply
    286x = 415 × 415
  4. Step 4: Simplify right side
    286x = 172,225
  5. Step 5: Solve for x
    x = 172,225/286
  6. Step 6: Final answer
    x = 602.19

Related Problems

Find third proportional to 143 and 207.50
Half scale
Find third proportional to 572 and 830
Double scale
Find third proportional to 288 and 418
Similar ratio
Find third proportional to 429 and 622.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.