Home / 90-213

Finding the Third Proportional to 90 and 213

Calculator

Solution

The third proportional to 90 and 213 is: 504.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    90 : 213 = 213 : x
  2. Step 2: Convert to fraction form
    90/213 = 213/x
  3. Step 3: Cross multiply
    90x = 213 × 213
  4. Step 4: Simplify right side
    90x = 45,369
  5. Step 5: Solve for x
    x = 45,369/90
  6. Step 6: Final answer
    x = 504.10

Related Problems

Find third proportional to 45 and 106.50
Half scale
Find third proportional to 180 and 426
Double scale
Find third proportional to 92 and 218
Similar ratio
Find third proportional to 135 and 319.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.