Home / 106.31-232.69

Finding the Third Proportional to 106.31 and 232.69

Calculator

Solution

The third proportional to 106.31 and 232.69 is: 509.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.31 : 232.69 = 232.69 : x
  2. Step 2: Convert to fraction form
    106.31/232.69 = 232.69/x
  3. Step 3: Cross multiply
    106.31x = 232.69 × 232.69
  4. Step 4: Simplify right side
    106.31x = 54,143.47
  5. Step 5: Solve for x
    x = 54,143.47/106.31
  6. Step 6: Final answer
    x = 509.29

Related Problems

Find third proportional to 53.16 and 116.34
Half scale
Find third proportional to 212.63 and 465.38
Double scale
Find third proportional to 108 and 237
Similar ratio
Find third proportional to 159.47 and 349.03
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.