Home / 213,403-466,982

Finding the Third Proportional to 213,403 and 466,982

Calculator

Solution

The third proportional to 213,403 and 466,982 is: 1,021,879.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,403 : 466,982 = 466,982 : x
  2. Step 2: Convert to fraction form
    213,403/466,982 = 466,982/x
  3. Step 3: Cross multiply
    213,403x = 466,982 × 466,982
  4. Step 4: Simplify right side
    213,403x = 218,072,188,324
  5. Step 5: Solve for x
    x = 218,072,188,324/213,403
  6. Step 6: Final answer
    x = 1,021,879.68

Related Problems

Find third proportional to 106,701.50 and 233,491
Half scale
Find third proportional to 426,806 and 933,964
Double scale
Find third proportional to 213,405 and 466,986
Similar ratio
Find third proportional to 320,104.50 and 700,473
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.