Home / 100.13-217.13

Finding the Third Proportional to 100.13 and 217.13

Calculator

Solution

The third proportional to 100.13 and 217.13 is: 470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.13 : 217.13 = 217.13 : x
  2. Step 2: Convert to fraction form
    100.13/217.13 = 217.13/x
  3. Step 3: Cross multiply
    100.13x = 217.13 × 217.13
  4. Step 4: Simplify right side
    100.13x = 47,143.27
  5. Step 5: Solve for x
    x = 47,143.27/100.13
  6. Step 6: Final answer
    x = 470.84

Related Problems

Find third proportional to 50.06 and 108.56
Half scale
Find third proportional to 200.25 and 434.25
Double scale
Find third proportional to 102 and 221
Similar ratio
Find third proportional to 150.19 and 325.69
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.