Home / 220.13-465.63

Finding the Third Proportional to 220.13 and 465.63

Calculator

Solution

The third proportional to 220.13 and 465.63 is: 984.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.13 : 465.63 = 465.63 : x
  2. Step 2: Convert to fraction form
    220.13/465.63 = 465.63/x
  3. Step 3: Cross multiply
    220.13x = 465.63 × 465.63
  4. Step 4: Simplify right side
    220.13x = 216,806.64
  5. Step 5: Solve for x
    x = 216,806.64/220.13
  6. Step 6: Final answer
    x = 984.93

Related Problems

Find third proportional to 110.06 and 232.81
Half scale
Find third proportional to 440.25 and 931.25
Double scale
Find third proportional to 222 and 470
Similar ratio
Find third proportional to 330.19 and 698.44
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.