Home / 189.75-213

Finding the Third Proportional to 189.75 and 213

Calculator

Solution

The third proportional to 189.75 and 213 is: 239.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.75 : 213 = 213 : x
  2. Step 2: Convert to fraction form
    189.75/213 = 213/x
  3. Step 3: Cross multiply
    189.75x = 213 × 213
  4. Step 4: Simplify right side
    189.75x = 45,369
  5. Step 5: Solve for x
    x = 45,369/189.75
  6. Step 6: Final answer
    x = 239.10

Related Problems

Find third proportional to 94.88 and 106.50
Half scale
Find third proportional to 379.50 and 426
Double scale
Find third proportional to 192 and 215
Similar ratio
Find third proportional to 284.63 and 319.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.