Home / 405-587.25

Finding the Third Proportional to 405 and 587.25

Calculator

Solution

The third proportional to 405 and 587.25 is: 851.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    405 : 587.25 = 587.25 : x
  2. Step 2: Convert to fraction form
    405/587.25 = 587.25/x
  3. Step 3: Cross multiply
    405x = 587.25 × 587.25
  4. Step 4: Simplify right side
    405x = 344,862.56
  5. Step 5: Solve for x
    x = 344,862.56/405
  6. Step 6: Final answer
    x = 851.51

Related Problems

Find third proportional to 202.50 and 293.63
Half scale
Find third proportional to 810 and 1,174.50
Double scale
Find third proportional to 407 and 590
Similar ratio
Find third proportional to 607.50 and 880.88
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.