Home / 69.38-102.19

Finding the Third Proportional to 69.38 and 102.19

Calculator

Solution

The third proportional to 69.38 and 102.19 is: 150.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.38 : 102.19 = 102.19 : x
  2. Step 2: Convert to fraction form
    69.38/102.19 = 102.19/x
  3. Step 3: Cross multiply
    69.38x = 102.19 × 102.19
  4. Step 4: Simplify right side
    69.38x = 10,442.29
  5. Step 5: Solve for x
    x = 10,442.29/69.38
  6. Step 6: Final answer
    x = 150.52

Related Problems

Find third proportional to 34.69 and 51.09
Half scale
Find third proportional to 138.75 and 204.38
Double scale
Find third proportional to 71 and 105
Similar ratio
Find third proportional to 104.06 and 153.28
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.