Home / 831.09-1,212.19

Finding the Third Proportional to 831.09 and 1,212.19

Calculator

Solution

The third proportional to 831.09 and 1,212.19 is: 1,768.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.09 : 1,212.19 = 1,212.19 : x
  2. Step 2: Convert to fraction form
    831.09/1,212.19 = 1,212.19/x
  3. Step 3: Cross multiply
    831.09x = 1,212.19 × 1,212.19
  4. Step 4: Simplify right side
    831.09x = 1,469,398.54
  5. Step 5: Solve for x
    x = 1,469,398.54/831.09
  6. Step 6: Final answer
    x = 1,768.03

Related Problems

Find third proportional to 415.55 and 606.09
Half scale
Find third proportional to 1,662.19 and 2,424.38
Double scale
Find third proportional to 833 and 1,215
Similar ratio
Find third proportional to 1,246.64 and 1,818.28
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.