Home / 98.53-213.09

Finding the Third Proportional to 98.53 and 213.09

Calculator

Solution

The third proportional to 98.53 and 213.09 is: 460.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.53 : 213.09 = 213.09 : x
  2. Step 2: Convert to fraction form
    98.53/213.09 = 213.09/x
  3. Step 3: Cross multiply
    98.53x = 213.09 × 213.09
  4. Step 4: Simplify right side
    98.53x = 45,408.95
  5. Step 5: Solve for x
    x = 45,408.95/98.53
  6. Step 6: Final answer
    x = 460.86

Related Problems

Find third proportional to 49.27 and 106.55
Half scale
Find third proportional to 197.06 and 426.19
Double scale
Find third proportional to 101 and 217
Similar ratio
Find third proportional to 147.80 and 319.64
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.