Home / 267.68-407.21

Finding the Third Proportional to 267.68 and 407.21

Calculator

Solution

The third proportional to 267.68 and 407.21 is: 619.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.68 : 407.21 = 407.21 : x
  2. Step 2: Convert to fraction form
    267.68/407.21 = 407.21/x
  3. Step 3: Cross multiply
    267.68x = 407.21 × 407.21
  4. Step 4: Simplify right side
    267.68x = 165,823.93
  5. Step 5: Solve for x
    x = 165,823.93/267.68
  6. Step 6: Final answer
    x = 619.49

Related Problems

Find third proportional to 133.84 and 203.61
Half scale
Find third proportional to 535.36 and 814.43
Double scale
Find third proportional to 270 and 410
Similar ratio
Find third proportional to 401.52 and 610.82
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.