Home / 47-110

Finding the Third Proportional to 47 and 110

Calculator

Solution

The third proportional to 47 and 110 is: 257.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47 : 110 = 110 : x
  2. Step 2: Convert to fraction form
    47/110 = 110/x
  3. Step 3: Cross multiply
    47x = 110 × 110
  4. Step 4: Simplify right side
    47x = 12,100
  5. Step 5: Solve for x
    x = 12,100/47
  6. Step 6: Final answer
    x = 257.45

Related Problems

Find third proportional to 23.50 and 55
Half scale
Find third proportional to 94 and 220
Double scale
Find third proportional to 49 and 115
Similar ratio
Find third proportional to 70.50 and 165
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.