Home / 46,494-102,096

Finding the Third Proportional to 46,494 and 102,096

Calculator

Solution

The third proportional to 46,494 and 102,096 is: 224,192.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,494 : 102,096 = 102,096 : x
  2. Step 2: Convert to fraction form
    46,494/102,096 = 102,096/x
  3. Step 3: Cross multiply
    46,494x = 102,096 × 102,096
  4. Step 4: Simplify right side
    46,494x = 10,423,593,216
  5. Step 5: Solve for x
    x = 10,423,593,216/46,494
  6. Step 6: Final answer
    x = 224,192.22

Related Problems

Find third proportional to 23,247 and 51,048
Half scale
Find third proportional to 92,988 and 204,192
Double scale
Find third proportional to 46,496 and 102,100
Similar ratio
Find third proportional to 69,741 and 153,144
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.