Home / 154.13-232.17

Finding the Third Proportional to 154.13 and 232.17

Calculator

Solution

The third proportional to 154.13 and 232.17 is: 349.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.13 : 232.17 = 232.17 : x
  2. Step 2: Convert to fraction form
    154.13/232.17 = 232.17/x
  3. Step 3: Cross multiply
    154.13x = 232.17 × 232.17
  4. Step 4: Simplify right side
    154.13x = 53,903.78
  5. Step 5: Solve for x
    x = 53,903.78/154.13
  6. Step 6: Final answer
    x = 349.74

Related Problems

Find third proportional to 77.06 and 116.09
Half scale
Find third proportional to 308.25 and 464.34
Double scale
Find third proportional to 156 and 235
Similar ratio
Find third proportional to 231.19 and 348.26
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.