Home / 100,410-216,370

Finding the Third Proportional to 100,410 and 216,370

Calculator

Solution

The third proportional to 100,410 and 216,370 is: 466,248.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,410 : 216,370 = 216,370 : x
  2. Step 2: Convert to fraction form
    100,410/216,370 = 216,370/x
  3. Step 3: Cross multiply
    100,410x = 216,370 × 216,370
  4. Step 4: Simplify right side
    100,410x = 46,815,976,900
  5. Step 5: Solve for x
    x = 46,815,976,900/100,410
  6. Step 6: Final answer
    x = 466,248.15

Related Problems

Find third proportional to 50,205 and 108,185
Half scale
Find third proportional to 200,820 and 432,740
Double scale
Find third proportional to 100,412 and 216,374
Similar ratio
Find third proportional to 150,615 and 324,555
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.