Home / 100,304-213,696

Finding the Third Proportional to 100,304 and 213,696

Calculator

Solution

The third proportional to 100,304 and 213,696 is: 455,275.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,304 : 213,696 = 213,696 : x
  2. Step 2: Convert to fraction form
    100,304/213,696 = 213,696/x
  3. Step 3: Cross multiply
    100,304x = 213,696 × 213,696
  4. Step 4: Simplify right side
    100,304x = 45,665,980,416
  5. Step 5: Solve for x
    x = 45,665,980,416/100,304
  6. Step 6: Final answer
    x = 455,275.77

Related Problems

Find third proportional to 50,152 and 106,848
Half scale
Find third proportional to 200,608 and 427,392
Double scale
Find third proportional to 100,306 and 213,700
Similar ratio
Find third proportional to 150,456 and 320,544
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.