Home / 41,782-90,223

Finding the Third Proportional to 41,782 and 90,223

Calculator

Solution

The third proportional to 41,782 and 90,223 is: 194,825.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,782 : 90,223 = 90,223 : x
  2. Step 2: Convert to fraction form
    41,782/90,223 = 90,223/x
  3. Step 3: Cross multiply
    41,782x = 90,223 × 90,223
  4. Step 4: Simplify right side
    41,782x = 8,140,189,729
  5. Step 5: Solve for x
    x = 8,140,189,729/41,782
  6. Step 6: Final answer
    x = 194,825.28

Related Problems

Find third proportional to 20,891 and 45,111.50
Half scale
Find third proportional to 83,564 and 180,446
Double scale
Find third proportional to 41,784 and 90,227
Similar ratio
Find third proportional to 62,673 and 135,334.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.