Home / 103,286-218,972

Finding the Third Proportional to 103,286 and 218,972

Calculator

Solution

The third proportional to 103,286 and 218,972 is: 464,232.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,286 : 218,972 = 218,972 : x
  2. Step 2: Convert to fraction form
    103,286/218,972 = 218,972/x
  3. Step 3: Cross multiply
    103,286x = 218,972 × 218,972
  4. Step 4: Simplify right side
    103,286x = 47,948,736,784
  5. Step 5: Solve for x
    x = 47,948,736,784/103,286
  6. Step 6: Final answer
    x = 464,232.68

Related Problems

Find third proportional to 51,643 and 109,486
Half scale
Find third proportional to 206,572 and 437,944
Double scale
Find third proportional to 103,288 and 218,976
Similar ratio
Find third proportional to 154,929 and 328,458
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.