Home / 55-137

Finding the Third Proportional to 55 and 137

Calculator

Solution

The third proportional to 55 and 137 is: 341.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55 : 137 = 137 : x
  2. Step 2: Convert to fraction form
    55/137 = 137/x
  3. Step 3: Cross multiply
    55x = 137 × 137
  4. Step 4: Simplify right side
    55x = 18,769
  5. Step 5: Solve for x
    x = 18,769/55
  6. Step 6: Final answer
    x = 341.25

Related Problems

Find third proportional to 27.50 and 68.50
Half scale
Find third proportional to 110 and 274
Double scale
Find third proportional to 57 and 142
Similar ratio
Find third proportional to 82.50 and 205.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.