Home / 70.13-102.38

Finding the Third Proportional to 70.13 and 102.38

Calculator

Solution

The third proportional to 70.13 and 102.38 is: 149.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.13 : 102.38 = 102.38 : x
  2. Step 2: Convert to fraction form
    70.13/102.38 = 102.38/x
  3. Step 3: Cross multiply
    70.13x = 102.38 × 102.38
  4. Step 4: Simplify right side
    70.13x = 10,480.64
  5. Step 5: Solve for x
    x = 10,480.64/70.13
  6. Step 6: Final answer
    x = 149.46

Related Problems

Find third proportional to 35.06 and 51.19
Half scale
Find third proportional to 140.25 and 204.75
Double scale
Find third proportional to 72 and 105
Similar ratio
Find third proportional to 105.19 and 153.56
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.