Home / 100-213.50

Finding the Third Proportional to 100 and 213.50

Calculator

Solution

The third proportional to 100 and 213.50 is: 455.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100 : 213.50 = 213.50 : x
  2. Step 2: Convert to fraction form
    100/213.50 = 213.50/x
  3. Step 3: Cross multiply
    100x = 213.50 × 213.50
  4. Step 4: Simplify right side
    100x = 45,582.25
  5. Step 5: Solve for x
    x = 45,582.25/100
  6. Step 6: Final answer
    x = 455.82

Related Problems

Find third proportional to 50 and 106.75
Half scale
Find third proportional to 200 and 427
Double scale
Find third proportional to 102 and 218
Similar ratio
Find third proportional to 150 and 320.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.