Home / 103,601-214,564

Finding the Third Proportional to 103,601 and 214,564

Calculator

Solution

The third proportional to 103,601 and 214,564 is: 444,375.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,601 : 214,564 = 214,564 : x
  2. Step 2: Convert to fraction form
    103,601/214,564 = 214,564/x
  3. Step 3: Cross multiply
    103,601x = 214,564 × 214,564
  4. Step 4: Simplify right side
    103,601x = 46,037,710,096
  5. Step 5: Solve for x
    x = 46,037,710,096/103,601
  6. Step 6: Final answer
    x = 444,375.15

Related Problems

Find third proportional to 51,800.50 and 107,282
Half scale
Find third proportional to 207,202 and 429,128
Double scale
Find third proportional to 103,603 and 214,568
Similar ratio
Find third proportional to 155,401.50 and 321,846
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.