Home / 58-137

Finding the Third Proportional to 58 and 137

Calculator

Solution

The third proportional to 58 and 137 is: 323.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    58 : 137 = 137 : x
  2. Step 2: Convert to fraction form
    58/137 = 137/x
  3. Step 3: Cross multiply
    58x = 137 × 137
  4. Step 4: Simplify right side
    58x = 18,769
  5. Step 5: Solve for x
    x = 18,769/58
  6. Step 6: Final answer
    x = 323.60

Related Problems

Find third proportional to 29 and 68.50
Half scale
Find third proportional to 116 and 274
Double scale
Find third proportional to 60 and 142
Similar ratio
Find third proportional to 87 and 205.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.