Home / 413,334-585,029

Finding the Third Proportional to 413,334 and 585,029

Calculator

Solution

The third proportional to 413,334 and 585,029 is: 828,044.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,334 : 585,029 = 585,029 : x
  2. Step 2: Convert to fraction form
    413,334/585,029 = 585,029/x
  3. Step 3: Cross multiply
    413,334x = 585,029 × 585,029
  4. Step 4: Simplify right side
    413,334x = 342,258,930,841
  5. Step 5: Solve for x
    x = 342,258,930,841/413,334
  6. Step 6: Final answer
    x = 828,044.46

Related Problems

Find third proportional to 206,667 and 292,514.50
Half scale
Find third proportional to 826,668 and 1,170,058
Double scale
Find third proportional to 413,336 and 585,032
Similar ratio
Find third proportional to 620,001 and 877,543.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.