Home / 100,406-216,362

Finding the Third Proportional to 100,406 and 216,362

Calculator

Solution

The third proportional to 100,406 and 216,362 is: 466,232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,406 : 216,362 = 216,362 : x
  2. Step 2: Convert to fraction form
    100,406/216,362 = 216,362/x
  3. Step 3: Cross multiply
    100,406x = 216,362 × 216,362
  4. Step 4: Simplify right side
    100,406x = 46,812,515,044
  5. Step 5: Solve for x
    x = 46,812,515,044/100,406
  6. Step 6: Final answer
    x = 466,232.25

Related Problems

Find third proportional to 50,203 and 108,181
Half scale
Find third proportional to 200,812 and 432,724
Double scale
Find third proportional to 100,408 and 216,366
Similar ratio
Find third proportional to 150,609 and 324,543
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.