Home / 267-457

Finding the Third Proportional to 267 and 457

Calculator

Solution

The third proportional to 267 and 457 is: 782.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    267 : 457 = 457 : x
  2. Step 2: Convert to fraction form
    267/457 = 457/x
  3. Step 3: Cross multiply
    267x = 457 × 457
  4. Step 4: Simplify right side
    267x = 208,849
  5. Step 5: Solve for x
    x = 208,849/267
  6. Step 6: Final answer
    x = 782.21

Related Problems

Find third proportional to 133.50 and 228.50
Half scale
Find third proportional to 534 and 914
Double scale
Find third proportional to 269 and 460
Similar ratio
Find third proportional to 400.50 and 685.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.