Home / 102-213

Finding the Third Proportional to 102 and 213

Calculator

Solution

The third proportional to 102 and 213 is: 444.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102 : 213 = 213 : x
  2. Step 2: Convert to fraction form
    102/213 = 213/x
  3. Step 3: Cross multiply
    102x = 213 × 213
  4. Step 4: Simplify right side
    102x = 45,369
  5. Step 5: Solve for x
    x = 45,369/102
  6. Step 6: Final answer
    x = 444.79

Related Problems

Find third proportional to 51 and 106.50
Half scale
Find third proportional to 204 and 426
Double scale
Find third proportional to 104 and 217
Similar ratio
Find third proportional to 153 and 319.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.