Home / 260,037-413,742

Finding the Third Proportional to 260,037 and 413,742

Calculator

Solution

The third proportional to 260,037 and 413,742 is: 658,300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,037 : 413,742 = 413,742 : x
  2. Step 2: Convert to fraction form
    260,037/413,742 = 413,742/x
  3. Step 3: Cross multiply
    260,037x = 413,742 × 413,742
  4. Step 4: Simplify right side
    260,037x = 171,182,442,564
  5. Step 5: Solve for x
    x = 171,182,442,564/260,037
  6. Step 6: Final answer
    x = 658,300.33

Related Problems

Find third proportional to 130,018.50 and 206,871
Half scale
Find third proportional to 520,074 and 827,484
Double scale
Find third proportional to 260,039 and 413,745
Similar ratio
Find third proportional to 390,055.50 and 620,613
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.