Home / 75.50-138

Finding the Third Proportional to 75.50 and 138

Calculator

Solution

The third proportional to 75.50 and 138 is: 252.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.50 : 138 = 138 : x
  2. Step 2: Convert to fraction form
    75.50/138 = 138/x
  3. Step 3: Cross multiply
    75.50x = 138 × 138
  4. Step 4: Simplify right side
    75.50x = 19,044
  5. Step 5: Solve for x
    x = 19,044/75.50
  6. Step 6: Final answer
    x = 252.24

Related Problems

Find third proportional to 37.75 and 69
Half scale
Find third proportional to 151 and 276
Double scale
Find third proportional to 78 and 142
Similar ratio
Find third proportional to 113.25 and 207
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.