Home / 263-407

Finding the Third Proportional to 263 and 407

Calculator

Solution

The third proportional to 263 and 407 is: 629.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    263 : 407 = 407 : x
  2. Step 2: Convert to fraction form
    263/407 = 407/x
  3. Step 3: Cross multiply
    263x = 407 × 407
  4. Step 4: Simplify right side
    263x = 165,649
  5. Step 5: Solve for x
    x = 165,649/263
  6. Step 6: Final answer
    x = 629.84

Related Problems

Find third proportional to 131.50 and 203.50
Half scale
Find third proportional to 526 and 814
Double scale
Find third proportional to 265 and 410
Similar ratio
Find third proportional to 394.50 and 610.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.