Home / 381,281-821,657

Finding the Third Proportional to 381,281 and 821,657

Calculator

Solution

The third proportional to 381,281 and 821,657 is: 1,770,663.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,281 : 821,657 = 821,657 : x
  2. Step 2: Convert to fraction form
    381,281/821,657 = 821,657/x
  3. Step 3: Cross multiply
    381,281x = 821,657 × 821,657
  4. Step 4: Simplify right side
    381,281x = 675,120,225,649
  5. Step 5: Solve for x
    x = 675,120,225,649/381,281
  6. Step 6: Final answer
    x = 1,770,663.17

Related Problems

Find third proportional to 190,640.50 and 410,828.50
Half scale
Find third proportional to 762,562 and 1,643,314
Double scale
Find third proportional to 381,283 and 821,661
Similar ratio
Find third proportional to 571,921.50 and 1,232,485.50
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.