Home / 35-69.50

Finding the Third Proportional to 35 and 69.50

Calculator

Solution

The third proportional to 35 and 69.50 is: 138.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35 : 69.50 = 69.50 : x
  2. Step 2: Convert to fraction form
    35/69.50 = 69.50/x
  3. Step 3: Cross multiply
    35x = 69.50 × 69.50
  4. Step 4: Simplify right side
    35x = 4,830.25
  5. Step 5: Solve for x
    x = 4,830.25/35
  6. Step 6: Final answer
    x = 138.01

Related Problems

Find third proportional to 17.50 and 34.75
Half scale
Find third proportional to 70 and 139
Double scale
Find third proportional to 37 and 73
Similar ratio
Find third proportional to 52.50 and 104.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.