Home / 65.50-138.13

Finding the Third Proportional to 65.50 and 138.13

Calculator

Solution

The third proportional to 65.50 and 138.13 is: 291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.50 : 138.13 = 138.13 : x
  2. Step 2: Convert to fraction form
    65.50/138.13 = 138.13/x
  3. Step 3: Cross multiply
    65.50x = 138.13 × 138.13
  4. Step 4: Simplify right side
    65.50x = 19,078.52
  5. Step 5: Solve for x
    x = 19,078.52/65.50
  6. Step 6: Final answer
    x = 291.28

Related Problems

Find third proportional to 32.75 and 69.06
Half scale
Find third proportional to 131 and 276.25
Double scale
Find third proportional to 68 and 142
Similar ratio
Find third proportional to 98.25 and 207.19
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.