Home / 338,658-464,391

Finding the Third Proportional to 338,658 and 464,391

Calculator

Solution

The third proportional to 338,658 and 464,391 is: 636,804.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,658 : 464,391 = 464,391 : x
  2. Step 2: Convert to fraction form
    338,658/464,391 = 464,391/x
  3. Step 3: Cross multiply
    338,658x = 464,391 × 464,391
  4. Step 4: Simplify right side
    338,658x = 215,659,000,881
  5. Step 5: Solve for x
    x = 215,659,000,881/338,658
  6. Step 6: Final answer
    x = 636,804.68

Related Problems

Find third proportional to 169,329 and 232,195.50
Half scale
Find third proportional to 677,316 and 928,782
Double scale
Find third proportional to 338,660 and 464,394
Similar ratio
Find third proportional to 507,987 and 696,586.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.