Home / 49-71

Finding the Third Proportional to 49 and 71

Calculator

Solution

The third proportional to 49 and 71 is: 102.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49 : 71 = 71 : x
  2. Step 2: Convert to fraction form
    49/71 = 71/x
  3. Step 3: Cross multiply
    49x = 71 × 71
  4. Step 4: Simplify right side
    49x = 5,041
  5. Step 5: Solve for x
    x = 5,041/49
  6. Step 6: Final answer
    x = 102.88

Related Problems

Find third proportional to 24.50 and 35.50
Half scale
Find third proportional to 98 and 142
Double scale
Find third proportional to 51 and 74
Similar ratio
Find third proportional to 73.50 and 106.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.