Home / 35.50-69.13

Finding the Third Proportional to 35.50 and 69.13

Calculator

Solution

The third proportional to 35.50 and 69.13 is: 134.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.50 : 69.13 = 69.13 : x
  2. Step 2: Convert to fraction form
    35.50/69.13 = 69.13/x
  3. Step 3: Cross multiply
    35.50x = 69.13 × 69.13
  4. Step 4: Simplify right side
    35.50x = 4,778.27
  5. Step 5: Solve for x
    x = 4,778.27/35.50
  6. Step 6: Final answer
    x = 134.60

Related Problems

Find third proportional to 17.75 and 34.56
Half scale
Find third proportional to 71 and 138.25
Double scale
Find third proportional to 38 and 73
Similar ratio
Find third proportional to 53.25 and 103.69
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.