Home / 152.88-232.19

Finding the Third Proportional to 152.88 and 232.19

Calculator

Solution

The third proportional to 152.88 and 232.19 is: 352.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.88 : 232.19 = 232.19 : x
  2. Step 2: Convert to fraction form
    152.88/232.19 = 232.19/x
  3. Step 3: Cross multiply
    152.88x = 232.19 × 232.19
  4. Step 4: Simplify right side
    152.88x = 53,911.04
  5. Step 5: Solve for x
    x = 53,911.04/152.88
  6. Step 6: Final answer
    x = 352.65

Related Problems

Find third proportional to 76.44 and 116.09
Half scale
Find third proportional to 305.75 and 464.38
Double scale
Find third proportional to 155 and 235
Similar ratio
Find third proportional to 229.31 and 348.28
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.