Home / 65.25-137.63

Finding the Third Proportional to 65.25 and 137.63

Calculator

Solution

The third proportional to 65.25 and 137.63 is: 290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.25 : 137.63 = 137.63 : x
  2. Step 2: Convert to fraction form
    65.25/137.63 = 137.63/x
  3. Step 3: Cross multiply
    65.25x = 137.63 × 137.63
  4. Step 4: Simplify right side
    65.25x = 18,940.64
  5. Step 5: Solve for x
    x = 18,940.64/65.25
  6. Step 6: Final answer
    x = 290.28

Related Problems

Find third proportional to 32.63 and 68.81
Half scale
Find third proportional to 130.50 and 275.25
Double scale
Find third proportional to 67 and 142
Similar ratio
Find third proportional to 97.88 and 206.44
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.