Home / 100,098-217,665

Finding the Third Proportional to 100,098 and 217,665

Calculator

Solution

The third proportional to 100,098 and 217,665 is: 473,316.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,098 : 217,665 = 217,665 : x
  2. Step 2: Convert to fraction form
    100,098/217,665 = 217,665/x
  3. Step 3: Cross multiply
    100,098x = 217,665 × 217,665
  4. Step 4: Simplify right side
    100,098x = 47,378,052,225
  5. Step 5: Solve for x
    x = 47,378,052,225/100,098
  6. Step 6: Final answer
    x = 473,316.67

Related Problems

Find third proportional to 50,049 and 108,832.50
Half scale
Find third proportional to 200,196 and 435,330
Double scale
Find third proportional to 100,100 and 217,669
Similar ratio
Find third proportional to 150,147 and 326,497.50
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.