Home / 156.09-239.06

Finding the Third Proportional to 156.09 and 239.06

Calculator

Solution

The third proportional to 156.09 and 239.06 is: 366.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.09 : 239.06 = 239.06 : x
  2. Step 2: Convert to fraction form
    156.09/239.06 = 239.06/x
  3. Step 3: Cross multiply
    156.09x = 239.06 × 239.06
  4. Step 4: Simplify right side
    156.09x = 57,150.88
  5. Step 5: Solve for x
    x = 57,150.88/156.09
  6. Step 6: Final answer
    x = 366.13

Related Problems

Find third proportional to 78.05 and 119.53
Half scale
Find third proportional to 312.19 and 478.13
Double scale
Find third proportional to 158 and 242
Similar ratio
Find third proportional to 234.14 and 358.59
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.