Home / 83-138

Finding the Third Proportional to 83 and 138

Calculator

Solution

The third proportional to 83 and 138 is: 229.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83 : 138 = 138 : x
  2. Step 2: Convert to fraction form
    83/138 = 138/x
  3. Step 3: Cross multiply
    83x = 138 × 138
  4. Step 4: Simplify right side
    83x = 19,044
  5. Step 5: Solve for x
    x = 19,044/83
  6. Step 6: Final answer
    x = 229.45

Related Problems

Find third proportional to 41.50 and 69
Half scale
Find third proportional to 166 and 276
Double scale
Find third proportional to 85 and 141
Similar ratio
Find third proportional to 124.50 and 207
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.