Home / 213,039-470,385

Finding the Third Proportional to 213,039 and 470,385

Calculator

Solution

The third proportional to 213,039 and 470,385 is: 1,038,598.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,039 : 470,385 = 470,385 : x
  2. Step 2: Convert to fraction form
    213,039/470,385 = 470,385/x
  3. Step 3: Cross multiply
    213,039x = 470,385 × 470,385
  4. Step 4: Simplify right side
    213,039x = 221,262,048,225
  5. Step 5: Solve for x
    x = 221,262,048,225/213,039
  6. Step 6: Final answer
    x = 1,038,598.79

Related Problems

Find third proportional to 106,519.50 and 235,192.50
Half scale
Find third proportional to 426,078 and 940,770
Double scale
Find third proportional to 213,041 and 470,389
Similar ratio
Find third proportional to 319,558.50 and 705,577.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.