Home / 213,585-469,802

Finding the Third Proportional to 213,585 and 469,802

Calculator

Solution

The third proportional to 213,585 and 469,802 is: 1,033,377.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,585 : 469,802 = 469,802 : x
  2. Step 2: Convert to fraction form
    213,585/469,802 = 469,802/x
  3. Step 3: Cross multiply
    213,585x = 469,802 × 469,802
  4. Step 4: Simplify right side
    213,585x = 220,713,919,204
  5. Step 5: Solve for x
    x = 220,713,919,204/213,585
  6. Step 6: Final answer
    x = 1,033,377.43

Related Problems

Find third proportional to 106,792.50 and 234,901
Half scale
Find third proportional to 427,170 and 939,604
Double scale
Find third proportional to 213,587 and 469,806
Similar ratio
Find third proportional to 320,377.50 and 704,703
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.