Home / 96.50-210.50

Finding the Third Proportional to 96.50 and 210.50

Calculator

Solution

The third proportional to 96.50 and 210.50 is: 459.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.50 : 210.50 = 210.50 : x
  2. Step 2: Convert to fraction form
    96.50/210.50 = 210.50/x
  3. Step 3: Cross multiply
    96.50x = 210.50 × 210.50
  4. Step 4: Simplify right side
    96.50x = 44,310.25
  5. Step 5: Solve for x
    x = 44,310.25/96.50
  6. Step 6: Final answer
    x = 459.17

Related Problems

Find third proportional to 48.25 and 105.25
Half scale
Find third proportional to 193 and 421
Double scale
Find third proportional to 99 and 215
Similar ratio
Find third proportional to 144.75 and 315.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.