Home / 136-177.75

Finding the Third Proportional to 136 and 177.75

Calculator

Solution

The third proportional to 136 and 177.75 is: 232.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    136 : 177.75 = 177.75 : x
  2. Step 2: Convert to fraction form
    136/177.75 = 177.75/x
  3. Step 3: Cross multiply
    136x = 177.75 × 177.75
  4. Step 4: Simplify right side
    136x = 31,595.06
  5. Step 5: Solve for x
    x = 31,595.06/136
  6. Step 6: Final answer
    x = 232.32

Related Problems

Find third proportional to 68 and 88.88
Half scale
Find third proportional to 272 and 355.50
Double scale
Find third proportional to 138 and 180
Similar ratio
Find third proportional to 204 and 266.63
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.