Home / 280,824-458,496

Finding the Third Proportional to 280,824 and 458,496

Calculator

Solution

The third proportional to 280,824 and 458,496 is: 748,577.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,824 : 458,496 = 458,496 : x
  2. Step 2: Convert to fraction form
    280,824/458,496 = 458,496/x
  3. Step 3: Cross multiply
    280,824x = 458,496 × 458,496
  4. Step 4: Simplify right side
    280,824x = 210,218,582,016
  5. Step 5: Solve for x
    x = 210,218,582,016/280,824
  6. Step 6: Final answer
    x = 748,577.69

Related Problems

Find third proportional to 140,412 and 229,248
Half scale
Find third proportional to 561,648 and 916,992
Double scale
Find third proportional to 280,826 and 458,499
Similar ratio
Find third proportional to 421,236 and 687,744
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.