Home / 413.25-584.25

Finding the Third Proportional to 413.25 and 584.25

Calculator

Solution

The third proportional to 413.25 and 584.25 is: 826.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.25 : 584.25 = 584.25 : x
  2. Step 2: Convert to fraction form
    413.25/584.25 = 584.25/x
  3. Step 3: Cross multiply
    413.25x = 584.25 × 584.25
  4. Step 4: Simplify right side
    413.25x = 341,348.06
  5. Step 5: Solve for x
    x = 341,348.06/413.25
  6. Step 6: Final answer
    x = 826.01

Related Problems

Find third proportional to 206.63 and 292.13
Half scale
Find third proportional to 826.50 and 1,168.50
Double scale
Find third proportional to 415 and 587
Similar ratio
Find third proportional to 619.88 and 876.38
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.