Home / 53-116

Finding the Third Proportional to 53 and 116

Calculator

Solution

The third proportional to 53 and 116 is: 253.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53 : 116 = 116 : x
  2. Step 2: Convert to fraction form
    53/116 = 116/x
  3. Step 3: Cross multiply
    53x = 116 × 116
  4. Step 4: Simplify right side
    53x = 13,456
  5. Step 5: Solve for x
    x = 13,456/53
  6. Step 6: Final answer
    x = 253.89

Related Problems

Find third proportional to 26.50 and 58
Half scale
Find third proportional to 106 and 232
Double scale
Find third proportional to 55 and 120
Similar ratio
Find third proportional to 79.50 and 174
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.