Home / 103,414-165,920

Finding the Third Proportional to 103,414 and 165,920

Calculator

Solution

The third proportional to 103,414 and 165,920 is: 266,206.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,414 : 165,920 = 165,920 : x
  2. Step 2: Convert to fraction form
    103,414/165,920 = 165,920/x
  3. Step 3: Cross multiply
    103,414x = 165,920 × 165,920
  4. Step 4: Simplify right side
    103,414x = 27,529,446,400
  5. Step 5: Solve for x
    x = 27,529,446,400/103,414
  6. Step 6: Final answer
    x = 266,206.18

Related Problems

Find third proportional to 51,707 and 82,960
Half scale
Find third proportional to 206,828 and 331,840
Double scale
Find third proportional to 103,416 and 165,923
Similar ratio
Find third proportional to 155,121 and 248,880
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.