Home / 285-461

Finding the Third Proportional to 285 and 461

Calculator

Solution

The third proportional to 285 and 461 is: 745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    285 : 461 = 461 : x
  2. Step 2: Convert to fraction form
    285/461 = 461/x
  3. Step 3: Cross multiply
    285x = 461 × 461
  4. Step 4: Simplify right side
    285x = 212,521
  5. Step 5: Solve for x
    x = 212,521/285
  6. Step 6: Final answer
    x = 745.69

Related Problems

Find third proportional to 142.50 and 230.50
Half scale
Find third proportional to 570 and 922
Double scale
Find third proportional to 287 and 464
Similar ratio
Find third proportional to 427.50 and 691.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.