Home / 413.86-460.69

Finding the Third Proportional to 413.86 and 460.69

Calculator

Solution

The third proportional to 413.86 and 460.69 is: 512.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.86 : 460.69 = 460.69 : x
  2. Step 2: Convert to fraction form
    413.86/460.69 = 460.69/x
  3. Step 3: Cross multiply
    413.86x = 460.69 × 460.69
  4. Step 4: Simplify right side
    413.86x = 212,232.97
  5. Step 5: Solve for x
    x = 212,232.97/413.86
  6. Step 6: Final answer
    x = 512.81

Related Problems

Find third proportional to 206.93 and 230.34
Half scale
Find third proportional to 827.72 and 921.38
Double scale
Find third proportional to 416 and 463
Similar ratio
Find third proportional to 620.79 and 691.03
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.