Home / 137.25-210.38

Finding the Third Proportional to 137.25 and 210.38

Calculator

Solution

The third proportional to 137.25 and 210.38 is: 322.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.25 : 210.38 = 210.38 : x
  2. Step 2: Convert to fraction form
    137.25/210.38 = 210.38/x
  3. Step 3: Cross multiply
    137.25x = 210.38 × 210.38
  4. Step 4: Simplify right side
    137.25x = 44,257.64
  5. Step 5: Solve for x
    x = 44,257.64/137.25
  6. Step 6: Final answer
    x = 322.46

Related Problems

Find third proportional to 68.63 and 105.19
Half scale
Find third proportional to 274.50 and 420.75
Double scale
Find third proportional to 139 and 213
Similar ratio
Find third proportional to 205.88 and 315.56
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.