Home / 124-137

Finding the Third Proportional to 124 and 137

Calculator

Solution

The third proportional to 124 and 137 is: 151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    124 : 137 = 137 : x
  2. Step 2: Convert to fraction form
    124/137 = 137/x
  3. Step 3: Cross multiply
    124x = 137 × 137
  4. Step 4: Simplify right side
    124x = 18,769
  5. Step 5: Solve for x
    x = 18,769/124
  6. Step 6: Final answer
    x = 151.36

Related Problems

Find third proportional to 62 and 68.50
Half scale
Find third proportional to 248 and 274
Double scale
Find third proportional to 126 and 139
Similar ratio
Find third proportional to 186 and 205.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.