Home / 102,782-221,845

Finding the Third Proportional to 102,782 and 221,845

Calculator

Solution

The third proportional to 102,782 and 221,845 is: 478,830.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,782 : 221,845 = 221,845 : x
  2. Step 2: Convert to fraction form
    102,782/221,845 = 221,845/x
  3. Step 3: Cross multiply
    102,782x = 221,845 × 221,845
  4. Step 4: Simplify right side
    102,782x = 49,215,204,025
  5. Step 5: Solve for x
    x = 49,215,204,025/102,782
  6. Step 6: Final answer
    x = 478,830.96

Related Problems

Find third proportional to 51,391 and 110,922.50
Half scale
Find third proportional to 205,564 and 443,690
Double scale
Find third proportional to 102,784 and 221,849
Similar ratio
Find third proportional to 154,173 and 332,767.50
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.