Home / 385-415

Finding the Third Proportional to 385 and 415

Calculator

Solution

The third proportional to 385 and 415 is: 447.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    385 : 415 = 415 : x
  2. Step 2: Convert to fraction form
    385/415 = 415/x
  3. Step 3: Cross multiply
    385x = 415 × 415
  4. Step 4: Simplify right side
    385x = 172,225
  5. Step 5: Solve for x
    x = 172,225/385
  6. Step 6: Final answer
    x = 447.34

Related Problems

Find third proportional to 192.50 and 207.50
Half scale
Find third proportional to 770 and 830
Double scale
Find third proportional to 387 and 417
Similar ratio
Find third proportional to 577.50 and 622.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.