Home / 59-117

Finding the Third Proportional to 59 and 117

Calculator

Solution

The third proportional to 59 and 117 is: 232.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    59 : 117 = 117 : x
  2. Step 2: Convert to fraction form
    59/117 = 117/x
  3. Step 3: Cross multiply
    59x = 117 × 117
  4. Step 4: Simplify right side
    59x = 13,689
  5. Step 5: Solve for x
    x = 13,689/59
  6. Step 6: Final answer
    x = 232.02

Related Problems

Find third proportional to 29.50 and 58.50
Half scale
Find third proportional to 118 and 234
Double scale
Find third proportional to 61 and 121
Similar ratio
Find third proportional to 88.50 and 175.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.