Home / 301,520-409,496

Finding the Third Proportional to 301,520 and 409,496

Calculator

Solution

The third proportional to 301,520 and 409,496 is: 556,138.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,520 : 409,496 = 409,496 : x
  2. Step 2: Convert to fraction form
    301,520/409,496 = 409,496/x
  3. Step 3: Cross multiply
    301,520x = 409,496 × 409,496
  4. Step 4: Simplify right side
    301,520x = 167,686,974,016
  5. Step 5: Solve for x
    x = 167,686,974,016/301,520
  6. Step 6: Final answer
    x = 556,138.81

Related Problems

Find third proportional to 150,760 and 204,748
Half scale
Find third proportional to 603,040 and 818,992
Double scale
Find third proportional to 301,522 and 409,499
Similar ratio
Find third proportional to 452,280 and 614,244
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.