Home / 264-415

Finding the Third Proportional to 264 and 415

Calculator

Solution

The third proportional to 264 and 415 is: 652.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    264 : 415 = 415 : x
  2. Step 2: Convert to fraction form
    264/415 = 415/x
  3. Step 3: Cross multiply
    264x = 415 × 415
  4. Step 4: Simplify right side
    264x = 172,225
  5. Step 5: Solve for x
    x = 172,225/264
  6. Step 6: Final answer
    x = 652.37

Related Problems

Find third proportional to 132 and 207.50
Half scale
Find third proportional to 528 and 830
Double scale
Find third proportional to 266 and 418
Similar ratio
Find third proportional to 396 and 622.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.