Home / 285-457

Finding the Third Proportional to 285 and 457

Calculator

Solution

The third proportional to 285 and 457 is: 732.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285 : 457 = 457 : x
  2. Step 2: Convert to fraction form
    285/457 = 457/x
  3. Step 3: Cross multiply
    285x = 457 × 457
  4. Step 4: Simplify right side
    285x = 208,849
  5. Step 5: Solve for x
    x = 208,849/285
  6. Step 6: Final answer
    x = 732.80

Related Problems

Find third proportional to 142.50 and 228.50
Half scale
Find third proportional to 570 and 914
Double scale
Find third proportional to 287 and 460
Similar ratio
Find third proportional to 427.50 and 685.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.