Home / 383.06-413.02

Finding the Third Proportional to 383.06 and 413.02

Calculator

Solution

The third proportional to 383.06 and 413.02 is: 445.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.06 : 413.02 = 413.02 : x
  2. Step 2: Convert to fraction form
    383.06/413.02 = 413.02/x
  3. Step 3: Cross multiply
    383.06x = 413.02 × 413.02
  4. Step 4: Simplify right side
    383.06x = 170,581.91
  5. Step 5: Solve for x
    x = 170,581.91/383.06
  6. Step 6: Final answer
    x = 445.31

Related Problems

Find third proportional to 191.53 and 206.51
Half scale
Find third proportional to 766.13 and 826.03
Double scale
Find third proportional to 385 and 415
Similar ratio
Find third proportional to 574.59 and 619.52
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.