Home / 100,414-216,374

Finding the Third Proportional to 100,414 and 216,374

Calculator

Solution

The third proportional to 100,414 and 216,374 is: 466,246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,414 : 216,374 = 216,374 : x
  2. Step 2: Convert to fraction form
    100,414/216,374 = 216,374/x
  3. Step 3: Cross multiply
    100,414x = 216,374 × 216,374
  4. Step 4: Simplify right side
    100,414x = 46,817,707,876
  5. Step 5: Solve for x
    x = 46,817,707,876/100,414
  6. Step 6: Final answer
    x = 466,246.82

Related Problems

Find third proportional to 50,207 and 108,187
Half scale
Find third proportional to 200,828 and 432,748
Double scale
Find third proportional to 100,416 and 216,378
Similar ratio
Find third proportional to 150,621 and 324,561
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.